Texas instruments TI-84 Plus CE User Manual

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Reference Guide for the

TI-84 Plus CE Graphing Calculator

Catalog, Commands and Functions, Error Messages

Arithmetic Operations, Test Relations, and Symbols

To obtain the latest version of the documentation, go to

education.ti.com/go/download.

Important Information

Except as otherwise expressly stated in the License that accompanies a program, Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an “as-is” basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this product. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.

Important Information ii

Contents

Important Information ii

What's New 1

What's New in the TI-84 Plus CE Reference Guide: 1

Introduction 2

CATALOG, Strings, Hyperbolic Functions 3

What Is the CATALOG? 3 Browsing the TI-84 PlusCE Catalog 4 Using Catalog Help 6 Entering and Using Strings 8 Storing Strings to String Variables 9 String Functions and Instructions in the CATALOG 11 Hyperbolic Functions in the CATALOG 16

Commands and Functions Listing 18

Alpha CATALOG Listing 20 A 20 B 22 C 23 D 28 E 32 F 34 G 37 H 41 I 42 L 47 M 51 N 53 O 57 P 57 Q 64 R 64 S 69 T 79 U 83 V 84 W 85 X 86

iii

Z 86

Arithmetic Operations, Test Relations, and Symbols 91

Error Messages 100

General Information 106

Texas Instruments S upport and Service 106 Service and Warranty Information 106

What's New

What's New in the TI-84 Plus CE Reference Guide:

All items listed are new or updated entries in the Reference Guide for the TI-84 Plus CE Graphing Calculator.

Piecewise

• New piecewise function to support entry of functions as they are seen in textbook.

This command can be found in » MATH B:piecewise(.

• New CONDITIONS submenu in y : supports faster entry of intervals for

piecewise functions.

• Available for use in all function graphing modes and all split screen modes.

What's New 1

Introduction

In this Reference Guide you will find the following information:

• CATALOG, Strings, Hyperbolic Functions - Includes instructions on browsing, using, entering strings, and other functions in the CATALOG.

• Commands and Functions Listing - Includes an alphabetical listing of all CATALOG items, referencing:

- Function or Instruction/Arguments

- Results

- Key or Keys/Menu or Screen/Item

• Arithmetic Operations, Test Relations, and Symbols - Items whose names are not alphabetic (such as +, !, and >).

• Error Messages - Includes a listing of error types with possible causes and suggested remedies.

2 Introduction

CATALOG, Strings, Hyperbolic Functions

What Is the CATALOG?

The CATALOG is an alphabetical list of all functions and instructions on the TI-84PlusCE. You also can access each CATALOG item from a menu or the keyboard, except:

• The six string functions

• The six hyperbolic functions

• The solve( instruction without the equation solver editor

• The inferential stat functions without the inferential stat editors

Note: The only CATALOG programming commands you can execute from the home

screen are GetCalc(, Get(, and Send(.

CATA LOG, Strings, Hyperbolic Functions 3

Browsing the TI-84 PlusCE Catalog

Selecting an Item from the CATALOG

To browse and select a CATALOG item, follow these steps.

1. Press y Nto display the CATALOG.

The 4 in the first column is the selection cursor.

2. Press † or } to scroll the CATALOG until the selection cursor points to the item you want.

• To jump to the first item beginning with a particular letter, press that letter; alpha-lock is on.

• Items that begin with a number are in alphabetical order according to the first letter after the number. For example, 2-PropZTest( is among the items that begin with the letter P.

• Functions that appear as symbols, such as +, that begins with Z. To jump to the first symbol, !, press [q].

3. Press Í to paste the item to the current screen.

, <, and $(, follow the last item

Note:

• From the top of the CATALOG menu, press } to move to the bottom. From the bottom, press † to move to the top.

• When your TI-84PlusCE is in MathPrint™ mode, many functions will paste the MathPrint™ template on the home screen. For example, abs( pastes the absolute value template on the home screen instead of abs(.

4 CATALOG, Strings, Hyperbolic Functions

MathPrint™

Classic

CATA LOG, Strings, Hyperbolic Functions 5

Using Catalog Help

Displaying Catalog Help

You can display Catalog Help arguments for functions in two ways:

• Using an alpha/numeric function listing in the catalog (e.g, y N).

• Using the functions listed in certain menus (e.g, »).

Catalog Help lists the valid arguments for the function under the edit line. Arguments in brackets are optional.

1. Display the menu that contains the function.

2. Use } and/or † to move the cursor to the function.

3. Press Ã to display arguments for the function. The cursor is on the function edit line.

Note:

• The catalog (y N) is displayed in alphabetical order. When you display the catalog, the alpha-lock is turned on. Press the first letter of the function name to skip function names that come before it alphabetically. Use } and/or † to move the cursor to the function.

• Not all catalog functions have associated arguments. If the function does not require an argument, Catalog Help displays the message “No arguments required for this item.”

Catalog Help Commands

• Select MORE (if available) to display more arguments for the function.

6 CATALOG, Strings, Hyperbolic Functions

• Use shortcut menus ƒ ^ through a through for argument values if available.

• Enter your argument values on the function edit line, and then select PASTE to paste the function and the argument values you entered.

Note: You can paste to most cursor locations.

• Select ESC to exit the Catalog Help screen.

CATA LOG, Strings, Hyperbolic Functions 7

Entering and Using Strings

What Is a String?

A string is a sequence of characters that you enclose within quotation marks. On the TI-84PlusCE, a string has two primary applications.

• It defines text to be displayed in a program.

• It accepts input from the keyboard in a program.

Characters are the units that you combine to form a string.

• Each number, letter, and space counts as one character.

• Each instruction or function name, such as sin( or cos(, counts as one character; the TI-84PlusCE interprets each instruction or function name as one character.

Entering a String

To enter a string on a blank line on the home screen or in a program, follow these steps.

1. Press ƒ W to indicate the beginning of the string.

2. Enter the characters that comprise the string.

• Use any combination of numbers, letters, function names, or instruction names to create the string.

• To enter a blank space, press ƒ O.

• To enter several alpha characters in a row, press ƒ 7 to activate alphalock.

3. Press ƒ W to indicate the end of the string.

ãstringã

4. Press Í. On the home screen, the string is displayed on the next line without

quotations. An ellipsis (...) indicates that the string continues beyond the screen. To scroll to see the entire string, press ~ and |.

Note: A string must be enclosed in quotation marks. The quotation marks do not count

as string characters.

8 CATALOG, Strings, Hyperbolic Functions

Storing Strings to String Variables

String Variables

The TI-84PlusCE, has 10 variables to which you can store strings. You can use string variables with string functions and instructions.

To display the VARS STRING menu, follow these steps.

1. Press ½ to display the VARS menu. Move the cursor to 7:String.

2. Press Í to display the STRING secondary menu.

Storing a String to a String Variable

To store a string to a string variable, follow these steps.

1. Press ƒ W, enter the string, and press ƒ W.

2. Press ¿.

3. Press ½ 7 to display the VARS STRING menu.

4. Select the string variable (from Str1 to Str9, or Str0) to which you want to store the string.

CATA LOG, Strings, Hyperbolic Functions 9

The string variable is pasted to the current cursor location, next to the store symbol (!).

5. Press Í to store the string to the string variable. On the home screen, the stored string is displayed on the next line without quotation marks.

Displaying the Contents of a String Variable

To display the contents of a string variable on the home screen, select the string variable from the VARS STRING menu, and then press Í. The string is displayed.

10 CA TALOG, Strings, Hyperbolic Functions

String Functions and Instructions in the CATALOG

Displaying String Functions and Instructions in the CATALOG

String functions and instructions are available only from the CATALOG. The table below lists the string functions and instructions in the order in which they appear among the other CATALOG menu items. The ellipses in the table indicate the presence of additional CATALOG items.

CATALOG

... Equ4String( Converts an equation to a string. ... expr( Converts a string to an expression. ... inString( Returns a character’s place number. ... length( Returns a string’s character length. ... String4Equ( Converts a string to an equation. sub( Returns a string subset as a string. ...

Concatenation

To concatenate two or more strings, follow these steps.

1. Enter string1, which can be a string or string name.

2. Press Ã.

3. Enter string2, which can be a string or string name. If necessary, press Ã and enter string3, and so on.

string1+string2+string3...

4. Press Í to display the strings as a single string.

CATA LOG, Strings, Hyperbolic Functions 11

Selecting a String Function from the CATALOG

To select a string function or instruction and paste it to the current screen, follow the steps for selecting an item from the CATALOG.

Equ4String(

Equ4String( converts an equation to a string. The equation must be store in a

VARSY-VARS variable. Yn contains the equation. Strn (from Str1 to Str9, or Str0) is the string variable to which you want the equation to be stored.

Equ4String(Yn,Strn)

expr(

expr( converts the character string contained in string to an expression and executes

the expression. string can be a string or a string variable.

expr(string)

inString(

inString( returns the character position in string of the first character of substring.

string can be a string or a string variable. start is an optional character position at

which to start the search; the default is1.

inString(string,substring[,start])

12 CA TALOG, Strings, Hyperbolic Functions

Note: If string does not contain substring, or start is greater than the length of string, inString( returns 0.

length(

length( returns the number of characters in string. string can be a string or string

variable.

Note: An instruction or function name, such as sin( or cos(, counts as one character.

length(string)

String4Equ(

String4Equ( converts string into an equation and stores the equation to Yn. string can

be a string or string variable. String4Equ( is the inverse of Equ4String(.

String4Equ(string,Yn)

CATA LOG, Strings, Hyperbolic Functions 13

sub(

sub( returns a string that is a subset of an existing string. string can be a string or a

string variable. begin is the position number of the first character of the subset. length is the number of characters in the subset.

sub(string,begin,length)

Entering a F unction to Graph during Program Execution

In a program, you can enter a function to graph during program execution using these commands.

14 CA TALOG, Strings, Hyperbolic Functions

Note: When you execute this program, enter a function to store to Y3 at the ENTRY=

prompt.

CATA LOG, Strings, Hyperbolic Functions 15

Hyperbolic Functions in the CATALOG

Hyperbolic Functions

The hyperbolic functions are available only from the CATALOG. The table below lists the hyperbolic functions in the order in which they appear among the other CATALOG menu items. The ellipses in the table indicate the presence of additional CATALOG items.

CATALOG

... cosh( Hyperbolic cosine cosh-1( Hyperbolic arccosine ... sinh( Hyperbolic sine sinh-1( Hyperbolic arcsine ... tanh( Hyperbolic tangent tanh-1( Hyperbolic arctangent ...

sinh(, cosh(, tanh(

sinh(, cosh(, and tanh( are the hyperbolic functions. Each is valid for real numbers,

expressions, and lists.

sinh(value) cosh(value) tanh(value)

sinh-1(, cosh-1(, tanh-1(

sinh-1( is the hyperbolic arcsine function. cosh-1( is the hyperbolic arccosine function. tanh-1( is the hyperbolic arctangent function. Each is valid for real numbers,

expressions, and lists.

sinh-1(value) cosh-1(value) tanh-1(value)

16 CA TALOG, Strings, Hyperbolic Functions

CATA LOG, Strings, Hyperbolic Functions 17

Commands and Functions Listing

The purpose of this table of information is to provide a short description with syntax of command arguments as appropriate and menu locations for each command or function in the Catalog listing in the calculator.

This table is useful for executing commands when using the calculator or creating TIBasic programs.

Items whose names are not alphabetic (such as +, !, and >) are listed in the Arithmetic

Operations, Test Relations, and Symbols section. Unless otherwise specified, all

examples in this section were performed in the default reset mode, and all variables are assumed to be the default value of 0.

From the CATALOG, you can paste any function or command to the home screen or to a command line in the program editor.

The same syntax information for function and command arguments below is available on the calculator and also in the TI Connect™ CE Program Editor.

• On the calculator, pressing [+] when a function or command is highlighted in the menu listing will display the Catalog Help syntax editor to assist your entries.

• Using TI Connect™ CE Program Editor, the catalog listing also displays the syntax of the arguments for functions and commands.

Note that some functions and commands are only valid when executed in a TI-Basic program and not from the home screen.

The items in this table appear in the same order as they appear in the CATALOG (y [catalog].)

In the table below, the † symbol indicates either keystrokes or certain commands which are only available in the Program Editor mode on the calculator. Press ¼ and select to EDIT an existing program or NEW to start a new program to set the calculator in the Program Edit mode.

Some arguments are optional. Optional arguments will be indicated within [ ] in the syntax help given in the table below. [ ] are not symbols on the calculator and are not to be typed in. They are used here only to indicate an optional argument.

On the calculator, functions and commands paste as "tokens." This means they paste as one character and not as individual letters, symbols and spaces. Do not attempt to type in any function or command on the calculator. Just paste the token from menu locations. Watch the cursor jump over tokens as you edit to get a better understanding of tokens.

In TI Connect™ CE Program Editor, you can "feel" the same experience of pasting tokens when using the Catalog tree provided in that editor. You also can type in the functions and commands if you know the correct format and syntax. TI Connect™ CE "tokenizes" the functions and commands when you send the program to the calculator. However, you must type in the functions and commands exactly as the tokens. Note that some commands will have spaces as part of the token which you might not see.

For example, Pause command as a token has a space at the end. Once you send the

18 Com mands and Functions Listing

program to the calculator, you can run the program and if there are any syntax errors, you can fix the issues on either the calculator or in TI Connect™ CE Program Editor.

CTL I/O

COLOR

Color Numbers Names

EXEC

10 BLUE

11 RED

12 BLACK

13 MAGENTA

14 GREEN

15 ORANGE

16 BROWN

17 NAVY

18 LTBLUE

19 YELLOW

20 WHITE

21 LTGRAY

22 MEDGRAY

23 GRAY

24 DARKGRAY

You can also choose a name in the ½ menu (COLOR sub-menu).

GraphColor(function#,color#)

For exam ple, GraphColor(2,4) orGraphColor(2,MAGENTA).

Commands and Functions Listing 19

Alpha CATALOG Listing

abs()

abs(value)

Returns the absolute value of a real number, expression, list, or matrix.

abs()

abs(complex value)

Returns the mag nitude of a com plex number or list.

and

valueA and valueB

Returns 1 (true) when both valueA and valueB are true. Otherwise, return is 0 (false).

valueA and valueB ca n be rea l numbers, expressions, or lists.

TI Connect™ Program Editor Tip:

Notice the token is "_and_" where "_" is a space.

angle()

angle(value)

Returns the polar a ngle of a complex number or list of complex numbers.

NUM

1:abs(

CMPLX

5:abs(

y :

LOGIC

1:and

CMPLX

4:angle(

ANOVA()

ANOVA(list1,list2[,list3,...,list20])

Performs a one-way analysis of variance for compa ring the means of two to 20 populations.

Ans

Returns the last answer.

20 Com mands and Functions Listing

…

TESTS

H:ANOVA(

y Z

Archive

Archive variables

Moves the specified variable from RA M to the user data archive memory.

Asm()

Asm(assemblyprgmname)

Executes a n assembly lang uag e program.

AsmComp()

AsmComp(prgmASM1, prgmASM2)

Compiles an assembly langua ge program written in ASCII and stores the hex version.

Asm84CEPrgm

Must be used a s the first line of a n assembly lang uag e program.

augment()

augment( matrixA ,matrixB )

Returns a matrix,which is matrixB appended to matrixA as new columns.

y L

5:Archive

Asm(

AsmComp(

y N

Asm84CEPrgm

y >

MATH

7:augment(

augment()

augment(listA,listB)

Returns a list, which is listB concatena ted to the end of listA.

AUTO Answer

AUTO

Displays answers in a similar format a s the input.

AxesOff

y 9

OPS

9:augment(

Answers:

AUTO

† y

Commands and Functions Listing 21

AxesOff

Turns off the g raph axes.

AxesOn

AxesOn[color#]

Turns on the g raph axes with color.The color option allows the color of the axes to be specified.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR..

a+bi

Sets the mode to rectang ular complex number format (a+bi).

BackgroundOff

Turns off background ima ge in the graph area.

BackgroundOn

BackgroundOn n

Displays a menu the Background Image Var n (Image#n) specified in the graph a rea.

AxesOff

† y

AxesOn

† z

a+b i

† y <

BACKGROUND

2:BackgroundOff:

† y <

BACKGROUND

1:BackgroundOn

22 Com mands and Functions Listing

bal(

bal(npmt[,roundvalue])

Computes the balance a t npmt for a n am ortization schedule using stored values for PV, æ, and PMT and rounds the computation to

roundvalue.

binomcdf(

binomcdf(numtrials,p[,x])

Computes a cumulative probabilityat x for the discrete binomial distribution with the specified numtrials and probabilityp of success on

each trial.

binompdf(

binompdf(numtrials,p[,x] )

Computes a probabilitya t x for the discrete binomial distribution with the specified numtrials a nd probabilityp of success on e ach trial.

BorderColor

BorderColor[color#]

Turns on a border color s urrounding the graph area with the specified color.Color#:1-4.

1:Finance

CALC

9:bal(

y =

DISTR

B:binomcdf(

y =

DISTR

A:binompdf(

† y

BorderColor

Boxplot

Boxplot Plot#(type,Xlist,[,freqlist,color#])

Defines Plot# (1, 2, or 3) of type

checkTmr(

checkTmr(starttime)

Returns the number of seconds since you used st art Tmr to start the timer. The starttime is the value displayed by startTmr.

† y

TYPE

y N

checkTmr(

Commands and Functions Listing 23

cdf(

cdf(lowerbound,upperbound,df)

Computes the c2distribution probability between lowerbound and

upperbound for the specified deg rees of freedom df.

pdf(

pdf(x,df)

Computes the probability density function (pdf) for the c2distribution a t a specified x value for the specified degrees of freedom df.

c2LTest(

c2LTest(observedmatrix,expectedmatrix

[,drawflag,color#])

Performs a chi-square test. drawflag=1 draws results; drawflag=0 calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

GOF

GOF-Test(observedlist,expectedlist,df

[,drawflag,color#])

Performs a test to confirm that sam ple data is from a population that conforms to a specified distribution.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

y =

DISTR

8: c2cdf(

y =

DISTR

7: c2pdf(

† …

TESTS

C: c

L Test

† …

TESTS

D: c2GOF L

Test(

(

Circle(

Circle( X,Y,radius[,color#,linestyle#])

Draws a circle with center (X,Y) and radius with specified

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

linestyle#: 1-2.

24 Com mands and Functions Listing

y <

DRAW

9:Circle(

CLASSIC

Displays inputs and outputs on a single line, such a s 1/ 2+3/4.

Clear Entries

Clears the contents of the Last Entrystorage area.

ClockOff

Turns off the clock display in the mode screen.

ClockOn

Turns on the clock display in the mode s creen.

ClrAllLists

Sets to 0 the dimension of all lists in memory.

CLASSIC

y L

MEMORY

3:Clear

Entries

ClockOff

ClockOn

y L

MEMORY

4:ClrAllLists

ClrDraw

Clears all drawn elements from a g raph or drawing.

ClrHome

Clears the home screen.

y <

DRAW

1:ClrDraw

† ¼

I/O

8:ClrHome

Commands and Functions Listing 25

ClrList

ClrListlistname1[,listname2, ...,listname n]

Sets the dimension of one or m ore listnames to 0.

ClrTable

Clears all values from the table.

conj(

conj(value)

Returns the complex conjugate of a complex number or list of com plex numbers.

CoordOff

Turns off cursor coordinate value display.

CoordOn

Turns on cursor coordinate value display.

…

EDIT

4:ClrList

† ¼

I/O

9:ClrTable

CMPLX

1:conj(

† y

CoordOff

† y

CoordOn

cos(

cos(value)

Returns cosine of a rea l number, expression, or list.

cos

(

cos

(value)

Returns a rccosine of a real number, expression, or list.

cosh(

cosh(value)

26 Com mands and Functions Listing

™

y @

cosh(

Returns hyperbolic cosine of a rea l number, expression, or list.

cosh

(

cosh

(value)

Returns hyperbolic a rccosine of a real number, expression, or list.

CubicReg

CubicReg [Xlistname,Ylistname,freqlist,regequ]

Fits a cubic reg ression model to Xlistname and Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

cumSum(

cumSum(list)

Returns a list of the cumulative sum s of the elements in list, s tarting with the first element.

cumSum(

cumSum(matrix)

Returns a matrix of the cumulative sums of matrix e lements. Ea ch element in the returned ma trix is a cumulative sum of a matrix column

from top to bottom.

cosh(

cosh

…

CALC

6:CubicReg

y 9

OPS

6:cumSum(

y >

MATH

0:cumSum(

(

Commands and Functions Listing 27

dayOfWk(

dayOfWk(year,month,day)

Returns a n integer from 1 to 7, with e ach integer representing a day of the week. Use dayOfWk( to determine on which day of the week a particular date would occur.The year must be 4 digits; month and day can be 1 or 2 digits.

dbd(

dbd(date1,date2)

Calculates the num ber of days between date1 and date2 using the actual-day-count method.

DEC Answers

DEC

Displays answers as integers or decimal numbers.

4Dec

value4Dec

Displays a real or complex number, expression, list, or matrix in decimal format.

y N

dayOfWk(

1:Sunday

2:Monday

3:Tuesday...

1:Finance

CALC

D:dbd(

Answers:

DEC

MATH

2: 4 Dec

Degree

Sets degree angle mode.

DelVar

DelVar variable

Deletes from memory the contents of variable.

DependAsk

Sets table to ask for dependent-variable values.

28 Com mands and Functions Listing

† z

Degree

† ¼

CTL

G:DelVar

† y -

Depend: Ask

DependAuto

Sets table to generate dependent-variable values automatically.

det(

det(matrix)

Returns determinant of matrix.

DetectAsymOff

Turns off checks for rational function asymptotes when graphing. Impacts graph speed. Does not perform extra calculations to detect asymptotes pixel to pixel while graphing. Pixels will connect a cross the screen even a cross an asymptote.

DetectAsymOn

Turns on checks for rational function asymptotes when graphing. Impacts graph speed. Performs more calculations and will not connect pixels across a n asymptote on a graph.

† y

Depend:

Auto

MATH

1:det(

† y .

DetectAsymOff

† y .

DetectAsymOn

DiagnosticOff

Sets diagnostics-off mode; r, r2, a nd R2are not displayed as regression model results.

y N

DiagnosticOff

Commands and Functions Listing 29

DiagnosticOn

Sets diagnostics-on m ode; r, r2, a nd R2are displayed a s regression model results.

dim(

dim(listname)

Returns the dimension of listname.

dim(

dim(matrixname)

Returns the dimension of matrixname as a list.

dim(

length!dim(listname)

Assigns a new dimension (length) to a new or existing listname.

dim( {rows,columns}!dim(matrixname)

Assigns new dimensions to a new or existing matrixname.

y N

DiagnosticOn

y 9

OPS

3:dim(

MATH

3:dim(

y 9

OPS

3:dim(

y >

MATH

3:dim(

Disp

Displays the home screen.

Disp

Disp [ valueA,valueB,valueC,...,value n]

Displays each value.

30 Com mands and Functions Listing

† ¼

I/O

3:Disp

† ¼

I/O

3:Disp

DispGraph

Displays the graph.

DispTable

Displays the table.

4DMS

value4DMS

Displays value in DMS format.

Dot-Thick

Sets dot plotting mode; rese ts all Y=editor g raph-style settings to DotThick.

Dot-Thin

Sets dot plotting mode; rese ts all Y=editor g raph-style settings to DotThin.

† ¼

I/O

4:DispGraph

† ¼

I/O

5:DispTable

;

ANGLE

4: 4 DMS

† z

Dot-Thick

† z

Dot-Thin

DrawF

DrawFexpression[,color#]

Draws expression (in terms of X ) on the graph with specified

Color#:10 - 24 or color name pasted from [vars] COLOR.

y <

DRAW

6:DrawF

Commands and Functions Listing 31

DrawInv

DrawInvexpression[,color#]

Draws the inverse of expression by plotting X values on the y-axis and Y values on the x-axis with specified

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

DS<(

DS<(variable,value):commandA:commands

Decrements variable by 1; skips commandA if variable < value.

Returns decimal approximation of the constant e.

e^(

e^(power)

Returns e raised to power.

e^(

e^(list)

Returns a list of e raised to a listof powers.

y <

DRAW

8:DrawInv

† ¼

CTL

B:DS<(

y [e]

y J

Exponent:

valueâexponent

Returns value times 10 to the exponent.

Exponent:

listâexponent

Returns list eleme nts times 10 to the exponent.

32 Com mands and Functions Listing

y D

Exponent:

matrixâexponent

Returns matrix elements times 10 to the exponent.

4Eff( 4Eff(nominal rate,

compounding periods)

Computes the effective interest rate.

Else

See If:Then:Else

End

Identifies end of For(, If-Then-Else, R epeat, or While loop.

Eng

Sets engineering display mode.

y D

Œ 1:Finance

CALC

C: 4 Eff(

† ¼

CTL

7:End

† z

Eng

Equ4String( Equ4String(Y= var,Strn)

Converts the contents of a Y= var to a string a nd stores it in St rn

eval(

eval(expression)

Returns a n evaluated expression as a string with 8 significant digits. The expression must be real.

Equ 4 String

(

† ¼

I/O

C:eval(

Commands and Functions Listing 33

eval(

eval(expression)

Returns a n evaluated expression as a string with 8 significant digits. The expression must s implify to a real expression.

ExecLib

Extends TI-Basic (not a vailable)

expr(

expr(string)

Converts the character string contained in string to an expression and executes the expression. string ca n be a string or a string variable.

ExpReg

ExpReg [Xlistname,Ylistname,freqlist,regequ]

Fits an exponential regression model to Xlistname a nd Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

ExprOff

Turns off the expression display during TRACE.

TI-Innovator™

Hub

† ¼

HUB

6:eval(

† ¼

CTL

K:ExecLib

† ¼

I/O

expr(

…

CALC

0:ExpReg

† y

ExprOff

ExprOn

Turns on the expression display during TRACE.

Ücdf( Ücdf(lowerbound,upperbound,numerator

df,denominator df)

Computes the Û distribution probability between lowerbound and

upperbound for the specified numerator df (degrees of freedom)

and denominator df.

34 Com mands and Functions Listing

† y

ExprOn

y =

DISTR

0: Ü cdf(

4 F 3 4 D

Converts an answer from a fraction to a decimal or from a decimal to a fraction. Fraction and or decima l ma y be an approximation.

Fill(

Fill(value,matrixname)

Stores value to each elem ent in matrixname.

Fill(

Fill(value,listname)

Stores value to each elem ent in listname.

t ^

4: 4 F 3 4 D

NUM

B: 4 F 3 4 D

FRAC

3: 4 F 3 4 D

MATH

4:Fill(

y 9

OPS

4:Fill(

Fix

Fix #

Sets fixed-decimal mode for # of decimal places .

† z

0123456789

(select one)

Commands and Functions Listing 35

Float

Sets floating decima l mode.

fMax(

fMax(expression,variable,lower,upper[,tolerance])

Returns the value of variable where the local m aximum of expression occurs, between lower a nd upper,with specified tolerance.

fMin(

fMin(expression,variable,lower,upper[,tolerance] )

Returns the value of variable where the local m inimum of expression occurs, between lower a nd upper, with specified tolerance.

fnInt(

fnInt(expression,variable,lower,upper[,tolerance])

Returns the function integral of expression with respect to variable, between lower and upper, with specified tolerance.

FnOff

FnOff [function#,function#,...,function n]

Deselects all Y= functions or specified Y= functions.

† z

Float

MATH

7:fMax(

MATH

6:fMin(

MATH

9:fnInt(

Y-VARS

4:On/Off

2:FnOff

FnOn

FnOn [function#,function#,...,function n]

Selects all Y= functions or specified Y= functions.

For(

:For(variable,begin,end

[,increment]):commands:End:commands

36 Com mands and Functions Listing

Y-VARS

4:On/Off

1:FnOn

† ¼

CTL

4:For(

For(

Executes commands through End,incrementing variable from begin by increment until variable>end.

fPart(

fPart(value)

Returns the fractional pa rt or parts of a real or complex num ber, expression, list, or matrix.

Üpdf( Üpdf(x,numerator df,denominator df)

Computes the Û distribution probability between lowerbound and

upperbound for the specified numerator df (degrees of freedom)

and denominator df.

4Frac

value4Frac

Displays a real or complex number, expression, list, or matrix as a fraction simplified to its simplest terms.

Full

Sets full screen mode.

NUM

4:fPart(

y =

DISTR

9: Ü pdf(

MATH

1: 4 Frac

† z

Full

Func

Sets function graphing mode.

GarbageCollect

Displays the garbage collection m enu to allow clea nup of unused archive m emory.

† z

Func

y N

GarbageCollect

Commands and Functions Listing 37

gcd(

gcd(valueA,valueB)

Returns the greatest common divisor of valueA and valueB, which can be real numbers or lists.

geometcdf(

geometcdf(p,x)

Computes a cumulative probabilityat x, the number of the trial on which the first s uccess occurs, for the discrete ge ometric distribution with the specified probability of success p.

geometpdf(

geometpdf(p,x)

Computes a probabilitya t x, the number of the trial on which the first success occurs, for the discrete geometric distribution with the specified probability of success p.

Get(

Get(variable)

Retrieves a value from a connected TI-Innovator™ Hub a nd stores the data to a variable on the receiving CE calculator.

Note: See also Send( and eval(

NUM

9:gcd(

y =

DISTR

F:geometcdf(

y =

DISTR

E:geometpdf(

† ¼

I/O

A:Get(

Get(

Get(variable

Retrieves a value from a connected TI-Innovator™ Hub a nd stores the data to a variable on the receiving CE calculator.

Note: See also Send( and eval(

GetCalc(

GetCalc( variable[,portflag])

Gets contents of variable on a nother T I-84 Plus CE and stores it to

variable on the receiving TI-84 Plus CE. By default, the TI-84 Plus CE

uses the USB port if it is connected. If the USB cable is not connected, it uses the I/O port.

portflag=0 use USB port if connected; portflag=1 use USB port; portflag=2 use I/O port.(Ignored when program runs on the TI-84 Plus

38 Com mands and Functions Listing

Ti-Innovator™

Hub

† ¼

HUB

5:Get

† ¼

I/O

0:GetCalc(

GetCalc(

CE.)

getDate

Returns a list giving the date according to the current value of the clock. The list is in {year,mon th,day} format.

getDtFmt

Returns a n integer representing the date format that is currently set on the device.

1 = M/D/Y 2 = D/ M/Y 3 = Y/M/D

getDtStr(

getDtStr(integer)

Returns a string of the current date in the format specified by integer, where:

1 = M/D/Y 2 = D/ M/Y 3 = Y/M/D

y N

getDate

getDtFmt

getDtStr(

Commands and Functions Listing 39

getTime

Returns a list giving the time according to the current value of the clock. The list is in {hour,minute,second} format. T he time is returned in the 24 hour format.

getTmFmt

Returns a n integer representing the clock time format that is currently set on the device.

12 = 12 hour format 24 = 24 hour format

getTmStr(

getTmStr(integer)

Returns a string of the current clock time in the format specified by

integer, where:

12 = 12 hour format 24 = 24 hour format

getKey

Returns the key code for the current keystroke, or 0, if no key is pressed.

y N

getTime

getTmFmt

getTmStr(

† ¼

I/O

7:getKey

Goto

Gotolabel

Transfers control to label.

40 Com mands and Functions Listing

† ¼

CTL

0:Goto

GraphColor(

GraphColor(function#,color#)

Sets the color for function# .

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

GraphStyle(

GraphStyle(function#,graphstyle#)

Sets a graphstyle for function#.

GridDot

GridDot [color#]

Turns on grid dots in the g raph area in the specified color.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

GridLine

GridLine [color#]

Turns on grid lines in the g raph area in the specified color.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

† ¼

CTL

H:GraphColor(

† ¼

CTL

H:GraphStyle(

† y

GridDot

† y

GridLine

GridOff

Turns off g rid forma t.

G-T

Sets graph-table vertical split-screen mode.

Histogram

Histogram Plot#(type,Xlist,[,freqlist,color#])

Used as the "type" argument in the command

† y .

GridOff

† z

GRAPH-

TABLE

† y

Commands and Functions Listing 41

Histogram

Where # gives Plot1, Plot2 or Plot3.

Horiz

Sets horizontal split-screen mode.

Horizontal

Horizontal y[,color#,linestyle#]

Draws a horizontal line a t y in a specified

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

line s tyle#: 1-4.

Returns the complex number i.

identity(

identity(dimension)

Returns the identitym atrix of dimension rows x dimension columns.

TYPE

† z

Horiz

y <

DRAW

3:Horizontal

y V

y >

MATH

5:identity(

If condition:commandA:commands

If condition=0 (false), skips commandA.

If Then

End

If:conditionThen:commandsEnd:commands

Executes commands from Then to End if condition=1 (true).

42 Com mands and Functions Listing

† ¼

CTL

1:If

† ¼

CTL

2:Then

If Then

Else End

If:

conditionThen:commandsElse:commandsEnd:commands

Executes commands from Then to Else if condition=1 (true); from

Else to End if condition = 0 (false).

imag(

imag(value)

Returns the imaginary (non-real) part of a complex num ber or list of complex numbers.

inBinom(

inBinom(area,trial,p)

The inverse binomial cum ulative distribution function results in the minimum number of successes, such that the cumulative probabilityfor that minimum num ber of successes ≥ the given cumulative probability (area). If more information is needed, also find the binomcdf for the result from invBinom(as shown below for a full analysis.

Details:

Assume the toss of a fair coin 30 times. W hat is the minimum number of heads you m ust observe such that the cumulative probability for that number of observed hea ds is a t least 0.95?

The results on the screen first show that the minimum number of successes to obtain at least the g iven cumulative probability of 0.95 is

19. Next, the cumulative probability for up to 19 is computed using binomcdf(and is approximately 0.9506314271 which meets the criteria of 0.9506314271≥0.95

† ¼

CTL

3:Else

CMPLX

3:imag(

DISTR

C:invBinom(

Alternate Method:

Set Y1=binomcdf(30,0.5,X) and use the table of values (starting at 0 a nd increment by 1) to find when the cum ulative probabilityis at or just above the given cum ulative probability. This gives you a view of all values to ma ke decisions. For this example, search in the table to find the cumulative probabilityjust la rger than 0.95. Again, the number of

Commands and Functions Listing 43

inBinom(

successes is 19.

IndpntAsk

Sets table to ask for independent-variable values.

† y

Indpnt:

Ask

IndpntAuto

Sets table to generate independent-variable values automa tically.

Input

Displays graph.

44 Com mands and Functions Listing

† y

Indpnt:

Auto

† ¼

I/O

2:Input

Input

Input [variable]

Input ["text",variable]

Prompts for value to store to variable.

Input

Input [Strn,variable]

Displays Strn and stores entered value to variable.

inString(

inString(string,substring[,start])

Returns the character position in string of the first character of substring beginning a t start.

int(

int(value)

Returns the largest integer a real or com plex number, expression, list, or matrix.

GInt( GInt(pmt1,pmt2[,roundvalue])

Computes the sum, rounded to roundvalue, of the interest amount between pmt1 and pmt2 for a n am ortization schedule.

† ¼

I/O

2:Input

† ¼

I/O

2:Input

inString(

NUM

5:int(

1:Finance

CALC

A: G Int(

invNorm(

invNorm(area[,µ,σ,tail])

tail [catalog]: LEFT, CEN TER, RIGHT

Computes the inverse cumulative normal distribution function for a given area under the normal distribution curve specified by m and s.. The optional argument tail can be LEFT (-∞,-a), CENTER [-a,a] or RIGHT (a, ∞) for Real a.

The tokens LEFT, CENTER a nd RIGHT can be found in [catalog].

DISTR

3:invNorm(

Commands and Functions Listing 45

LEFT

LEFT is a tail argument for the invNorm( command where the optional

argume nt tail can be LEFT (-∞,-a), CENTER [-a ,a] or RIGHT (a, ∞) for Real a.

See also invNorm(.

LEFT RIGHT CENTER

y N

LEFT

y N

RIGHT

y N

CENTER

46 Com mands and Functions Listing

invT(

invT(area,df)

Computes the inverse cumulative student-t probability function specified by degree of freedom, df for a g iven area under the curve.

iPart(

iPart(value)

Returns the integer part of a real or complex number, expression, list, or matrix.

irr(

irr(CF0,CFList[,CFFreq])

Returns the interest rate at which the net present value of the cash flow is equal to zero.

isClockOn

Identifies if clock is ON or OFF. Returns 1 if the clock is ON. Returns 0 if the clock is OFF.

IS>(

:IS>(variable,value) :commandA :commands

Increments variable by 1; skips commandA if variable>va lue.

y =

DISTR

4:invT(

NUM

3:iPart(

1:Finance

CALC 8:irr(

isClockOn

† ¼

CTL

A:IS>(

Ùlistname

Identifies the next one to five characters as a user-created list name.

LabelOff

y 9

OPS

B: Ù

† y .

Commands and Functions Listing 47

LabelOff

Turns off axes labels.

LabelOn

Turns on axes labels.

Lbl

Lbl label

Creates a label of one or two characters.

lcm(

lcm(valueA,valueB)

Returns the least comm on multiple of valueA and valueB, which can be real numbers or lists.

length(

length(string)

Returns the number of characters in string.

LabelOff

† y .

LabelOn

† ¼

CTL

9:Lbl

NUM

8:lcm(

length(

Line(

Line(X1,Y1,X2,Y2[,erase#,color#,linestyle#])

Draws a line from (X1,Y1) to (X2,Y2) with the following options: erase#: 1,0, color#:10-24, a nd line style#:1-4.

Line(

Line(X1,Y1,X2,Y2,0[,line#])

Erases a line (erase#: 1,0) from (X1,Y1) to (X2,Y2).

48 Com mands and Functions Listing

y <

DRAW

2:Line(

y <

DRAW

2:Line(

LinReg(a+bx)

LinReg(a+bx) [Xlistname,Ylistname,freqlist,regequ]

Fits a linear regression m odel to Xlistname and Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

LinReg(ax+b)

LinReg(ax+b) [Xlistname,Ylistname,freqlist,regequ]

Fits a linear regression m odel to Xlistname and Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

LinRegTInt

LinRegTInt [Xlistname,Ylistname,freqlist,confidence

level, regequ]

Performs a linear reg ression and computes the t confidence interval for the slope coefficient b.

LinRegTTest

[Xlistname,Ylistname,freqlist,alternative,regequ]

Performs a linear reg ression and a t-test. alternative=L1 is <;

alternative=0 is ; alternative=1 is >.

…

CALC

8:LinReg

(a+bx)

…

CALC

4:LinReg

(ax+b)

† …

TESTS

G:LinRegTInt

† …

TESTS

F:LinRegTTest

@List( @List(list)

Returns a list containing the differences between consecutive elements in

list.

List4matr( List4matr(listname1,...,listname n,matrixname)

Fills matrixname column by column with the elem ents from each specified listname.

Commands and Functions Listing 49

y 9

OPS

7: @ List(

y 9

OPS

0:List 4 matr

(

ln(

ln(value)

Returns the natural logarithm of a real or complex number, expression, or list.

LnReg

LnReg [Xlistname,Ylistname,freqlist,regequ]

Fits a logarithmic regression m odel to Xlistname a nd Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

log(

log(value)

Returns logarithm of a real or complex number, expression, or list.

logBASE(

logBASE(value, base)

Returns the logarithm of a specifed value determined from a specified base: logBASE(value, ba se).

Logistic

Logistic [Xlistname,Ylistname,freqlist,regequ]

Fits a logistic regression m odel to Xlistname and Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

…

CALC

9:LnReg

A: logBASE

CALC

B:Logistic

50 Com mands and Functions Listing

Manual-Fit

Manual-Fit[equname,color#,line style#]

Fits a linear equation to a s catter plot with specified color and line style.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

line s tyle#:1-4.

MATHPRINT

Displays most entries and answers the way they are displayed in

textbooks,such as .

Matr4list( Matr4list(matrix,listnameA,...,listname n)

Fills ea ch listname with elem ents from each column in matrix.

Matr4list( Matr4list(matrix,column#,listname)

Fills a listname with eleme nts from a specified column# in matrix.

…

CALC

D:Manual-

Fit

MATHPRINT

y 9

OPS

A:Matr 4

list(

y 9

OPS

A:Matr 4 list

(

max(

max(valueA,valueB)

Returns the larger of valueA a nd valueB.

max(

max(list)

Returns the larger of valueA a nd valueB.

NUM

7:max(

NUM

7:max(

Commands and Functions Listing 51

max(

max(list)

Returns largest real or complex element in list.

max(

max(listA,listB)

Returns a real or complex list of the larger of ea ch pair of elem ents in

listA and listB.

max(

max(value,list)

Returns a real or complex list of the larger of value or each list elem ent.

mean(

mean(list[,freqlist])

Returns the mean of list with frequency freqlist.

median(

median(list[,freqlist] )

Returns the median of list with frequency freqlist.

y 9

MATH

2:max(

y 9

MATH

2:max(

y 9

MATH

2:max(

y 9

MATH

3:mean(

y 9

MATH

4:median(

Med-Med

Med-Med [Xlistname,Ylistname,freqlist,regequ]

Fits a median-m edian m odel to Xlistname a nd Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

Menu(

Menu("title","text1",label1[,...,"text7",label7])

Generates a menu of up to seven items during program execution.

min(

min(valueA,valueB)

52 Com mands and Functions Listing

…

CALC

3:Med-Med

† ¼

CTL

C:Menu(

min(

Returns smaller of valueA and valueB.

min(

min(list)

Returns smallest rea l or complex eleme nt in list.

min(

min(listA,listB)

Returns real or complex list of the sma ller of each pa ir of elements in

listA and listB.

min(

min(value,list)

Returns a real or complex list of the smaller of value or ea ch list element.

ModBoxplot

ModBoxplot Plot#(type,Xlist,[,freqlist,color#])

Used as the "type" argument in the command.

Where # gives Plot1, Plot2 or Plot3.

NUM

6:min(

y 9

MATH

1:min(

y 9

MATH

1:min(

y 9

MATH

1:min(

† y

TYPE

nCr

valueA nCr valueB

Returns the number of combinations of valueA taken valueB at a time.

PRB

3:nCr

Commands and Functions Listing 53

nCr

value nCr list

Returns a list of the combinations of value taken each e lement in list at a time.

nCr

list nCr value

Returns a list of the combinations of each element in list taken value at a time.

nCr

listA nCr listB

Returns a list of the combinations of each element in listA taken each element in listB at a time.

n/d

Displays results as a simple fraction.

PRB

3:nCr

PRB

3:nCr

PRB

3:nCr

t ^

1: n/d

NUM

D: n/d

54 Com mands and Functions Listing

FRAC

1:n/d

nDeriv( nDeriv(expression,variable,value[,H])

When command is used in Classic mode, returns approximate numerical derivative of expression with respect to variable at value, with specific tolerance H.

In MathPrint mode, numeric derivative template pas tes and uses default tolerance H.

4 n/d 3 4 Un/d

Converts the results from a fraction to mixed number or from a mixed number to a fraction, if applicable.

MATH

8:nDeriv(

t ^

3: 4 n/d 3 4

Un/d

NUM

A: 4 n/d3 4

Un/d

FRAC

4: 4 n/d 3

4Un/d

4Nom( 4Nom(effective rate,

compounding periods)

Computes the nominal interest rate.

Normal

Sets normal display mode.

Œ 1:Finance

CALC

B: 4 Nom(

† z

Normal

Commands and Functions Listing 55

normalcdf( normalcdf(lowerbound,upperbound[,m,s])

Computes the normal distribution probabilitybetween lowerbound and

upperbound for the specified m a nd s.

normalpdf( normalpdf(x[,m,s])

Computes the probability density function for the normal distribution at a specified x value for the specified m and s.

NormProbPlot

NormProbPlot Plot#(type,Xlist,[,freqlist,color#])

Used as the "type" argument in the command

Where # gives Plot1, Plot2 or Plot3.

not(

not(value)

Returns 0 if value is 0. value ca n be a real number, expression, or list.

nPr

valueA nPr valueB

Returns the number of permutations of va lueA taken valueB at a time.

y =

DISTR

2:normalcdf(

y =

DISTR

1:normalpdf(

† y

TYPE

y :

LOGIC 4:not(

PRB

2:nPr

nPr

value nPr list

Returns a list of the permutations of value taken each element in list at a time.

nPr

list nPr value

Returns a list of the permutations of each element in list taken value at a time.

56 Com mands and Functions Listing

PRB

2:nPr

PRB

2:nPr

nPr

listA nPr listB

Returns a list of the permutations of each element in listA taken each element in listB at a time.

npv(

npv(interest rate,CF0,CFList[,CFFreq])

Computes the sum of the present values for cas h inflows and outflows.

OpenLib(

Extends TI-Basic. (Not available.)

valueA or valueB

Returns 1 if valueA or valueB is 0. valueA a nd valueB can be real numbers, expressions, or lists.

PRB

2:nPr

1:Finance

CALC

7:npv(

† ¼

CTL

J:OpenLib

(

y :

LOGIC

2:or

Output(

Output(row,column,"text")

Displays text beg inning at specified row and column of the home screen.

Output(

Output(row,column,value)

Displays value beg inning at specified row and column of the home screen.

Param

† ¼

I/O

6:Output(

† ¼

I/O

6:Output(

† z

Par

Commands and Functions Listing 57

Param

Sets parametric graphing mode.

Pause

Suspends program execution until you press Í.

Pause

Pause [value]

Displays value; s uspends program execution until you press Í.

Pause

Pause [value, time]

Displays value on the current home s creen and execution of the program continues after the time period specified. For time only,use

Pause “”,time where the value is a blank string. Time is in seconds.

Pausevalue,time.

piecewise

piecewise(

New piecewise function to support entry of functions a s they are seen in textbook.This command can be found in » MATH B:piecewise(

† ¼

CTL

8:Pause

† ¼

CTL

8:Pause

† ¼

CTL

8:Pause

».

} or † to

scroll to

B:piecewise

(

Plot1( Plot2( Plot3(

Plot#(type,Xlist,Ylist[,mark,color#])

Defines Plot# (1, 2, or 3) of type Scatter or xyLine for Xlist and Ylist using

mark and color.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Note: Xlist and Ylist represent the Xlist and Ylist nam es.

Plot1( Plot2( Plot3(

Plot#(type,Xlist,[,freqlist,color#])

58 Com mands and Functions Listing

† y

STAT PLOTS

1:Plot1 2:Plot2 3:Plot3

† y

Plot1( Plot2( Plot3(

Defines Plot# (1, 2, or 3) of type Histogram or Boxplot for Xlist with frequency freqlist and color#.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Note: Xlist represents the Xlist name.

Plot1( Plot2( Plot3(

Plot#(type,Xlist,[,freqlist,mark,color#])

Defines Plot# (1, 2, or 3) of type ModBoxplot for Xlist with frequency

freqlist using mark and color #.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Note: Xlist represents the Xlist name.

Plot1( Plot2( Plot3(

Plot#(type,datalist,[,data axis,mark,color#])

Defines Plot# (1, 2, or 3) of type NormProbPlot for datalist on data

axis using mark and color # data axis can be X or Y.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Note: datalist represents the datalist na me.

PlotsOff

PlotsOff [ 1,2,3]

Deselects all stat plots or one or more specified stat plots (1, 2, or 3).

STAT PLOTS

1:Plot1 2:Plot2 3:Plot3

† y

STAT PLOTS

1:Plot1 2:Plot2 3:Plot3

† y

STAT PLOTS

1:Plot1 2:Plot2

3:Plot3

STAT

PLOTS

4:PlotsOff

PlotsOn

PlotsOn [1,2,3]

Selects all stat plots or one or more specified stat plots (1, 2, or 3).

Pmt_Bgn

Specifies an annuity due, where payments occur at the beginning of e ach

STAT

PLOTS

5:PlotsOn

1:Finance

Commands and Functions Listing 59

Pmt_Bgn

payment period.

Pmt_End

Specifies an ordinary a nnuity,where payments occur a t the end of each payment period.

poissoncdf( poissoncdf(m,x)

Computes a cumulative probabilityat x for the discrete Poisson distribution with specified mea n m.

poissonpdf( poissonpdf(m,x)

Computes a probabilitya t x for the discrete Poisson distribution with the specified mean m.

CALC

F:Pmt_Bgn

1:Finance

CALC

E:Pmt_End

y =

DISTR

D:poissoncdf

(

y =

DISTR

C:poissonpdf

(

Polar

Sets polar graphing mode.

4Polar

complex value 4Polar

Displays complex value in polar format.

PolarGC

Sets polar graphing coordinates format.

60 Com mands and Functions Listing

† z

Polar

CMPLX

7: 4 Polar

† y

PolarGC

prgm

prgmname

Executes the program name.

GPrn( GPrn(pmt1,pmt2[,roundvalue])

Computes the sum, rounded to roundvalue, of the principal amount between pmt1 and pmt2 for a n am ortization schedule.

prod(

prod(list[ ,start,end])

Returns product of list elements between start and end

Prompt

Prompt variableA[,variableB,...,variable n]

Prompts for value for variableA, then variableB, and so on.

1-PropZInt(

1-PropZInt(x,n[,confidence level])

Computes a one-proportion z confidence interval.

† ¼

CTRL

D:prgm

1:Finance

CALC

0: G Prn(

y 9

MATH

6:prod(

† ¼

I/O

2:Prompt

† …

TESTS

A:1-PropZInt(

2-PropZInt(

2-PropZInt(x1,n1,x2,n2[,confidence level])

Computes a two-proportion z confidence interval.

1-PropZTest(

1-PropZTest(p0,x,n[,alternative,drawflag, color#])

Computes a one-proportion z test. alternative=L1 is <; alternative=0 is

; alternative=1 is >. drawflag= 1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Commands and Functions Listing 61

† …

TESTS

B:2-PropZInt(

† …

TESTS

5:1-PropZTest

(

2-PropZTest(

2-PropZTest(x1,n1,x2,n2[,alternative,drawflag, color#])

Computes a two-proportion z test. alternative=L1 is <; alternative=0 is

; alternative=1 is >. drawflag= 1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Pt-Change(

Pt-Change(x,y[ ,color#])

Togg les a point on or off at (x,y) on the g raph area . Off will be in the Background color and On will be the specified

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Pt-Off(

Pt-Off(x,y[,mark] )

Erases a point at (x,y) on the graph area using mark. The Off s tate may be the background color determined by the ImageVar or color setting.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Pt-On(

Pt-On(x,y[,mark,color#])

Draws a point a t (x,y) on the g raph area using mark and the specified

color#.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

† …

TESTS

6:2-PropZTest

(

y <

POINTS

3:Pt-Change(

y <

POINTS

2:Pt-Off(

y <

POINTS

1:Pt-On(

PwrReg

PwrReg [Xlistname,Ylistname,freqlist,regequ]

Fits a power regression m odel to Xlistname a nd Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

62 Com mands and Functions Listing

…

CALC

A:PwrReg

Pxl-Change(

Pxl-Change(row,column[,color#])

Togg les Off to On in the g raph area: with specified color# Togg les On to Off in the g raph area: Off will display the set Background Image Var or Color.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Pxl-Off(

Pxl-Off(row,column)

The Off state will display the set Background Image Var or COLOR.

Pxl-On(

Pxl-On(row,column[,color#])

Draws pixel on the g raph area at (row,column) in the specified color.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

pxl-Test(

pxl-Test(row,column)

Returns 1 if pixel (row, column) is on, 0 if it is off;

y <

POINTS

6:Pxl-Change

(

y <

POINTS

5:Pxl-Off(

y <

POINTS

4:Pxl-On(

y <

POINTS

7:pxl-Test(

P4Rx( P4Rx(r,q)

Returns X , given polar coordinates r and q or a list of polar coordinates.

P4Ry( P4Ry(r,q)

Returns Y, given polar coordinates r and q or a list of polar coordinates.

y ;

ANGLE

7:P 4 Rx(

y ;

ANGLE

8:P 4 Ry(

Commands and Functions Listing 63

QuadReg

QuadReg [Xlistname,Ylistname,freqlist,regequ]

Fits a quadratic regression m odel to Xlistname a nd Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

QuartReg

QuartReg [Xlistname,Ylistname,freqlist,regequ]

Fits a quartic reg ression model to Xlistname and Ylistname with frequency freqlist, a nd stores the reg ression equa tion to regequ.

Radian

Sets radian ang le mode.

rand

rand[(numtrials) ]

Returns a random number between 0 and 1 for a specified number of trials numtrials.

…

CALC

5:QuadReg

…

CALC

7:QuartReg

† z

Radian

PRB

1:rand

randBin(

randBin(numtrials,prob[,numsimulations])

Generates a nd displays a random real number from a specified Binomial distribution.

64 Com mands and Functions Listing

PRB

7:randBin(

randInt(

randInt( lower,upper [,numtrials])

Generates a nd displays a random integer within a range specified by

lower and upper integer bounds for a specified number of trials numtrials.

randIntNoRep(

randIntNoRep(lowerint,upperint [,numelements])

Returns a random ordered list of intege rs from a lower integer to an upper integ er which may include the lower integ er and upper integer.

If the optional argument numelements is specified, the first

numelements a re listed. T he first numelements term in the list of

random integers are displayed.

randM(

randM(rows,columns)

Returns a random m atrix of rows× columns.

Max rows x columns = 400 m atrix elements.

randNorm( randNorm(m,s[,numtrials])

Generates a nd displays a random real number from a specified Normal distribution s pecified by m and s for a specified num ber of trials

numtrials.

PRB

5:randInt(

PRB

8:randIntNoRep(

MATH

6:randM(

PRB

6:randNorm(

re^qi

Sets the mode to polar complex number mode (re^qi).

Real

Sets mode to display complex results only when you enter complex numbers.

† z

r e ^ q i

† z

Real

Commands and Functions Listing 65

real(

real(value)

Returns the real part of a complex number or list of complex numbers.

RecallGDB

RecallGDB n

Restores all settings stored in the graph databa se variable GDBn.

RecallPic

RecallPic n

Displays the graph and a dds the picture stored in Picn.

4Rect

complex value 4Rect

Displays complex value or list in rectangular format.

RectGC

Sets rectangular graphing coordinates format.

CPLX

2:real(

y <

STO

4:RecallGDB

y <

STO

2:RecallPic

CMPLX

6: 4 Rect

† y

RectGC

ref(

ref(matrix)

Returns the row-echelon form of a matrix.

remainder(

remainder(dividend, divisor)

Reports the rem ainder as a whole number from a division of two whole numbers where the divisor is not zero.

66 Com mands and Functions Listing

MATH

A:ref(

NUM

0:remainder(

remainder(

remainder(list, divisor)

Reports the rem ainder as a whole number from a division of two lists where the divisor is not zero.

remainder(

remainder(dividend, list)

Reports the rem ainder as a whole number from a division of two whole numbers where the divisor is a list.

remainder(

remainder(list, list)

Reports the rem ainder as a whole number from a division of two lists.

Repeat

Repeatcondition:commands:End:commands

Executes commands until condition is true.

Return

Returns to the ca lling program.

NUM

0:remainder(

NUM

0:remainder(

NUM

0:remainder

(

† ¼

CTL

6:Repeat

† ¼

CTL

E:Return

round(

round(value[,#decimals])

Returns a number, expression, list, or matrix rounded to #decimals ( 9).

ärow( ärow(value,matrix,row)

Returns a matrix with row of matrix multiplied by value and stored in

row.

NUM

2:round(

y >

MATH

E: ä row(

Commands and Functions Listing 67

row+(

row+(matrix,rowA,rowB)

Returns a matrix with rowA of matrix added to rowB a nd stored in

rowB.

ärow+( ärow+(value,matrix,rowA,rowB)

Returns a matrix with rowA of matrix multiplied by value, added to

rowB, and stored in rowB.

rowSwap(

rowSwap(matrix,rowA,rowB)

Returns a matrix with rowA of matrix swa pped with rowB.

rref(

rref(matrix)

Returns the reduced row-echelon form of a matrix.

R4Pr( R4Pr(x,y)

Returns R, g iven rectangular coordinates x and y or a list of rectangular coordinates.

y >

MATH

D:row+(

y >

MATH

F: ä row+(

y >

MATH

C:rowSwap(

y >

MATH

B:rref(

y ;

ANGLE

5:R 4 Pr(

R4Pq( R4Pq(x,y)

Returns q, given rectangular coordinates x and y or a list of rectangular coordinates.

68 Com mands and Functions Listing

y ;

ANGLE

6:R 4 P q (

2-SampÜTest

[

listname1

listname2

,freqlist1,freqlist2,alternative,drawflag,color#]

Performs a two-sample Ûtest. alternative=L1 is <; alternative=0 is ; alternative=1 is >. drawflag=1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

2-SampÜTest 2-SampÜTestSx1,n1,Sx2,n2

[,alternative,drawflag,color#]

Performs a two-sample Ûtest. alternative=L1 is <; alternative=0 is ; alternative=1 is >. drawflag=1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

2-SampTInt

[listname1,listname2,freqlist1,freqlist2,confidence

level,pooled]

(Data list input)

Computes a two-sample t confidence interval. pooled=1 pools variances; pooled=0 does not pool variances.

† …

TESTS

E:2-Samp Ü Test

† …

TESTS

E:2-Samp Ü Test

† …

TESTS

0:2-SampTInt

2-SampTInt 2-SampTIntv1,Sx1,n1,v2,Sx2,n2[,confidence

level,pooled]

(Summary stats input)

Computes a two-sample t confidence interval. pooled=1 pools variances; pooled=0 does not pool variances.

† …

TESTS

0:2-SampTInt

Commands and Functions Listing 69

2-SampTTest

[

listname1

listname2

freqlist1

,freqlist2,alternative,pooled,drawflag,color#])

Computes a two-sample t test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. pooled=1 pools variances; pooled=0 does not pool variances. drawflag=1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

2-SampTTest 2-SampTTestv1,Sx1,n1,v2,Sx2,n2

[,alternative,pooled,drawflag,color#])

Computes a two-sample t test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. pooled=1 pools variances; pooled=0 does not pool variances. drawflag=1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

2-SampZInt(

2-SampZInt(s

[,listname1,listname2,freqlist1,freqlist2,confidence

level])

(Data list input)

Computes a two-sample z confidence interval.

† …

TESTS

4:2-SampTTest

† …

TESTS

4:2-SampTTest

† …

TESTS

9:2-SampZInt(

2-SampZInt(

2-SampZInt(s

(Summary stats input)

Computes a two-sample z confidence interval.

70 Com mands and Functions Listing

,v1,n1,v2,n2[,confidence level])

1,s2

† …

TESTS

9:2-SampZInt(

2-SampZTest(

2-SampZTest( s

1,s2

listname1

listname2

,freqlist1,freqlist2,alternative,drawflag,color#])

Computes a two-sample z test. alternative=L1 is <; alternative=0 is

; alternative=1 is >. drawflag=1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

2-SampZTest(

2-SampZTest(s

[,alternative,drawflag,color#])

Computes a two-sample z test. alternative=L1 is <; alternative=0 is

; alternative=1 is >. drawflag=1 draws results; drawflag=0

calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Scatter

Scatter Plot#(type,Xlist,[,freqlist,color#])

Used as the "type" argument in the command

Where # gives Plot1, Plot2 or Plot3.

,v1,n1,v2,n2

1,s2

† …

TESTS

3:2-SampZTest(

† …

TESTS

3:2-SampZTest(

† y,

TYPE

Sci

Sets scientific notation display mode.

Select(

Select(Xlistname,Ylistname)

Selects one or more specific data points from a scatter plot or xyLine plot (only), a nd then store's the selected data points to two new

lists, Xlistname and Ylistname.

† z

Sci

y 9

OPS

8:Select(

Commands and Functions Listing 71

Send(

Send(string)

Sends one or more TI-Innovator™ Hub comma nds to a connected hub.

Notes:

See also eval( and Get( command related to the Send(comma nd.

TI-Innovator™ Hub comm ands are supported in the HUB submenu in the CE OS v.5.2 program editor.

Send(

Send(string)

Sends one or more TI-Innovator™ Hub comma nds to a connected hub.

Notes:

See also eval( and Get( command related to the Send(comma nd.

TI-Innovator™ Hub comm ands are supported in the HUB submenu in the CE OS v.5.2 program editor.

seq(

seq(expression,variable,begin,end[,increment])

Returns list created by evaluating expression with reg ard to

variable, from begin to end by increment.

† ¼

I/O

B:Send(

TIInnovator™ Hub

† ¼

HUB

See menu location depending on TIInnovator Hub sensors.

y 9

OPS

5:seq(

SEQ(n)

Seq(n)

In se quence mode, SEQ(n) sets the sequence editor type to enter sequence functions, u, v, or w, as a function of the independent variable

n. Can also be se t from the Y= editor in SEQ mode.

SEQ(n+1)

Seq(n+1)

In se quence mode, SEQ(n+1) sets the sequence editor type to enter sequence functions, u, v, or w, as a function of the independent variable

n+1. Can also be set from the Y= editor in SEQ mode.

72 Com mands and Functions Listing

† z

SEQ(n)

† z

SEQ(n+1)

SEQ(n+2)

Seq(n+2)

In se quence mode, SEQ(n+2) sets the sequence editor type to enter sequence functions, u, v, or w, as a function of the independent variable

n+2. Can also be set from the Y= editor in SEQ mode.

Note: "Type" will NOT be inc luded in the TIC CE P E

syntax On the device, "Type" does not paste and is similar

to how the device displays, for example, DEC Answers wh ere Answers appears in [catalog] but does no t paste.

Seq

Sets sequence graphing m ode.

Sequential

Sets mode to g raph functions sequentially.

† z

SEQ(n+2)

† z

Seq

† z

Sequential

setDate(

setDate(year,month,day)

Sets the date using a year, m onth, day forma t. The year m ust be 4 digits; month and day can be 1 or 2 digit.

setDtFmt(

setDtFmt(integer)

Sets the date forma t.

1 = M/D/Y 2 = D/ M/Y 3 = Y/M/D

y N

setDate(

setDtFmt(

Commands and Functions Listing 73

setTime(

setTime(hour,minute, second)

Sets the time using an hour, minute, s econd format. The hour must be in 24 hour format, in which 13 = 1 p.m.

setTmFmt(

setTmFmt(integer)

Sets the time format.

12 = 12 hour format 24 = 24 hour format

SetUpEditor

Removes all list names from the stat list editor,a nd then restores list names L1 through L6 to columns 1 through 6.

SetUpEditor

SetUpEditor listname1[,listname2,...,listname20]

Removes all list names from the stat list editor,then sets it up to display one or more listnames in the specified order, starting with column 1.

y N

setTime(

y N

setTmFmt(

…

EDIT

5:SetUpEditor

…

EDIT

5:SetUpEditor

Shade(

Shade(lowerfunc,upperfunc

[,Xleft,Xright,pattern,patres,color#])

Draws lowerfunc and upperfunc in terms of X on the current graph and uses pattern and patres to shade a nd color the area bounded by lowerfunc, upperfunc, Xleft, and Xright.

lowerfunc and upperfunc a re shaded in the sa me specified

color.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

74 Com mands and Functions Listing

y <

DRAW

7:Shade(

Shadec2(

Shadec2(lowerbound,upperbound,df[,color#])

Draws the density function for the c2distribution s pecified by degrees of freedom df, and sha des and colors the area between

lowerbound a nd upperbound.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

ShadeÜ(

ShadeÜ (lowerbound,upperbound,numeratordf,denominator

df[,color#])

Draws the density function for the Û distribution specified by

numerator df and denominator df and shades and colors the

area between lowerbound and upperbound.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

ShadeNorm(

ShadeNorm(lowerbound,upperbound[,m,s,color#])

Draws the normal density function specified by m a nd s a nd shades and colors the area between lowerbound a nd upperbound.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

y =

DRAW

3:Shade c2(

y =

DRAW

4:Shade Ü (

y =

DRAW

1:ShadeNorm(

Shade_t(

Shade_t(lowerbound,upperbound,df[,color#])

Draws the density function for the Student-t distribution specified by degrees of freedom df, a nd shades or colors the area between

lowerbound a nd upperbound.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

y =

DRAW

2:Shade_t(

Commands and Functions Listing 75

Simul

Sets mode to g raph functions simultaneously.

sin(

sin(value)

Returns the sine of a real number, expression, or list.

sin

(

sin

(value)

Returns the arcsine of a real number, expression, or list.

sinh(

sinh(value)

Returns the hyperbolic sine of a real number, expression, or list.

sinh

(

sinh

(value)

Returns the hyperbolic arcsine of a real number, expression, or list.

† z

Simul

y ?

y N

sinh(

y N

sinh

(

SinReg

[iterations,Xlistname,Ylistname,period,regequ]

Attempts iterations times to fit a sinusoidal regression model to

Xlistname and Ylistname using a period guess, and stores the

regression equa tion to regequ.

76 Com mands and Functions Listing

…

CALC

C:SinReg

solve(

solve(expression,variable,guess,{lower,upper})

Solves expression for variable, given an initial guess and lower and upper bounds within which the solution is soug ht.

SortA(

SortA(listname)

Sorts elem ents of listname in ascending order.

SortA(

SortA(keylistname,dependlist1

[,dependlist2,...,dependlist n])

Sorts elem ents of keylistname in ascending order, then sorts e ach

depen dlist as a dependent list.

SortD(

SortD(listname)

Sorts elem ents of listname in descending order.

SortD(

SortD(keylistname,dependlist1[,dependlist2,...,

dependlist n])

Sorts elem ents of keylistname in descending order, then sorts ea ch

depen dlist as a dependent list.

† »

MATH

0:solve(

y 9

OPS

1:SortA(

y 9

OPS

1:SortA(

y 9

OPS

2:SortD(

y 9

OPS

2:SortD(

startTmr

Starts the clock timer. Store or note the displayed value, and use it as the argument for checkTmr( ) to check the elapsed time.

y N

startTmr

Commands and Functions Listing 77

STATWIZARD OFF

Disables wizard syntax help for statistical comm ands, distributions, and seq(.

STATWIZARD ON

Enables wizard syntax help for statistical commands, distributions, and seq(.

stdDev(

stdDev(list[,freqlist])

Returns the standard deviation of the elem ents in list with frequency

freqlist.

Stop

Ends program execution; returns to home s creen.

Store !

Store: value!variable

Stores value in variable.

y N

STATWIZARD

OFF

y N

STATWIZARD

ON(

y 9

MATH

7:stdDev(

† ¼

CTL

F:Stop

StoreGDB

StoreGDB n

Stores current graph in da tabase GDBn.

78 Com mands and Functions Listing

y <

STO

3:StoreGDB

StorePic

StorePic n

Stores current picture in picture Picn.

String4Equ( String4Equ(string,Y= var)

Converts string into an equation and stores it in Y= var.

string can be a string or string variable.

String4Equ( is the inverse of Equ4String(.

sub(

sub(string,begin,length)

Returns a string that is a subset of another string, from begin to

length.

sum(

sum(list[,start,end])

Returns the sum of elements of list from start to end.

y <

STO

1:StorePic

† ¼

I/O

F:String>Equ(

y N

sub(

y 9

MATH

5:sum(

summation G(

G(expression[,start,end])

Classic comm and a s shown.

In MathPrint™ the summation entry template displays and returns the sum of elements of list from start to end, where start<=end.

tan(

tan(value)

Returns the tangent of a real number, expression, or list.

NUM

0: summation G(

Commands and Functions Listing 79

tan

(

tan

(value)

Returns the arctangent of a real number, expression, or list.

Tangent(

Tangent(expression,value[,color#,linestyle#])

Draws a line tangent to expression at X =value with specified color#: 10-24 a nd line style linestyle#: 1-2.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

tanh(

tanh(value)

Returns hyperbolic tangent of a real number, expression, or list.

tanh

(

tanh

(value)

Returns the hyperbolic arctangent of a rea l number, expression, or list.

tcdf(

tcdf(lowerbound,upperbound,df)

Computes the Student-t distribution probabilitybetween lowerbound and upperbound for the s pecified degrees of freedom df.

y A

y <

DRAW

5:Tangent(

tanh(

tanh

y =

DISTR

6:tcdf(

(

Text(

Text(row,column,text1,text2,...,text n)

Writes text on graph beginning at pixel (row,column), where 0 row 164 and 0 column 264.

Full mode, row must be <=148; column must be 256

Horiz mode, row must be row<=66 and column must be <=256

G-T mode, row must be row <=126; column must be 176

TextColor(

TextColor([color#]

80 Com mands and Functions Listing

y <

DRAW

0:Text(

† y

TextColor(

Set text color priorto using the Text( comma nd.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Then

See If:Then

Thick

Resets a ll Y=editor line-style settings to Thick.

Thin

Resets a ll Y=editor line-style settings to Thin.

Time

Sets sequence graphs to plot with respect to time.

DRAW

A:TextColor

(

† zT

Thick

† zT

Thin

† y

Time

timeCnv(

timeCnv(seconds)

Converts seconds to units of time that ca n be m ore eas ily understood for evaluation. The list is in {days,hours,minutes,seconds} format.

TInterval

TInterval [listname,freqlist,confidence level]

(Data list input)

Computes a t confidence interval.

y N

timeCnv

† …

TESTS

8:TInterval

Commands and Functions Listing 81

TInterval TInterval v,Sx,n[,confidence level]

(Summary stats input)

Computes a t confidence interval.

toString(

toString((value[,format])

Converts value to a string where value ca n be real, complex, an evaluated expression, list, or matrix. String va lue displays in classic

format (0) following the mode setting AUTO/DEC or in decimal format

(1).

tpdf(

tpdf(x,df)

Computes the probability density function (pdf) for the Student-t distribution a t a specified x value with specified degrees of freedom df.

Trace

Displays the graph and enters TRACE mode.

† …

TESTS

8:TInterval

† ¼

I/O

E:toString(

y =

DISTR

5:tpdf(

T-Test T-Test m0

[,listname,freqlist,alternative,drawflag,color#]) (Data list input)

Performs a t test with frequency freqlist.alternative=L1 is <;

alternative=0 is ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

T-Test T-Test m0,v,Sx,n[,alternative,drawflag,color#])

Performs a t test with frequency freqlist.alternative=L1 is < ;

alternative=0 is Ä ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

82 Com mands and Functions Listing

† …

TESTS

2:T-Test

† …

TESTS

2:T-Test

tvm_FV tvm_FV[(Ú,æ,PV,PMT,P/Y,C/Y)]

Computes the future value.

tvm_æ tvm_æ[(Ú,PV,PMT,FV,P/Y,C/Y)]

Computes the a nnual interest rate.

tvm_Ú tvm_Ú[(æ,PV,PMT,FV,P/Y,C/Y)]

Computes the number of payment periods.

tvm_Pmt tvm_Pmt[(Ú,æ,PV,FV,P/Y,C/Y)]

Computes the a mount of ea ch payment.

1:Finance

CALC

6:tvm_FV

1:Finance

CALC

3:tvm_

1:Finance

CALC

5:tvm_ Ú

1:Finance

CALC

2:tvm_

Pmt

tvm_PV tvm_PV[(Ú,æ,PMT,FV,P/Y,C/Y)]

Computes the present value.

UnArchive

UnArchive variable

Moves the specified variables from the user data archive memory to RAM.

To archive variables, use Archive.

1:Finance

CALC

4:tvm_PV

y L

6:UnArchive

Commands and Functions Listing 83

Un/d

Displays results as a mixed number, if applicable.

uvAxes

Sets sequence graphs to plot u(n) on the x-axis and v(n) on the y-axis.

uwAxes

Sets sequence graphs to plot u(n) on the x-axis and w(n) on the y-axis.

1-VarStats

1-VarStats [Xlistname,freqlist]

Performs one-variable a nalysis on the da ta in Xlistname with frequency

freqlist.

NUM

C: Un/d

FRAC

2:Un/d

† y

…

CALC

1:1-Var Stats

2-VarStats

2-VarStats [Xlistname,Ylistname,freqlist]

Performs two-variable ana lysis on the data in Xlistname and Ylistname with frequency freqlist.

variance(

variance(list[,freqlist])

Returns the variance of the elem ents in list with frequency freqlist.

84 Com mands and Functions Listing

…

CALC

2:2-Var Stats

y 9

MATH

8:variance(

Vertical

Vertical x[,color#,linestyle#]

Draws a vertical line a t x with specified color and line style.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

line s tyle#: 1-4.

vwAxes

Sets sequence graphs to plot v(n) on the x-axis and w (n) on the y-axis.

Wait

Waittime

Suspends execution of a program for a given time. Maximum time is 100 seconds.

y <

DRAW

4:Vertical

† y

† ¼

CTL

A:Wait

Wait

Waittime

Suspends execution of a program for a given time. Maximum time is 100 seconds.

Web

Sets sequence graphs to trace as webs.

:While

:Whilecondition:commands :End:command

Executes commands while condition is true.

Innovator™

TI-

Hub

† ¼

HUB

4:Wait

† y

Web

† ¼

CTL

5:While

Commands and Functions Listing 85

xor

valueA xor valueB

Returns 1 if only valueA or valueB = 0. valueA and valueB can be real numbers, expressions, or lists.

xyLine

xyLine Plot#(type,Xlist,[,freqlist,color#])

Used as the "type" argument in the command

Where # gives Plot1, Plot2 or Plot3.

ZBox

Displays a graph, lets you draw a box that defines a new viewing window, and updates the window.

ZDecimal

Adjusts the viewing window so that TraceStep=0.1, @X=0.5 and

@Y=0.5, and displays the graph screen with the origin centered on the

screen.

y :

LOGIC

3:xor

†

TYPE

† q

ZOOM 1:ZBox

† q

ZOOM

4:ZDecimal

ZFrac1/2

Sets the window variables so that you can trace in increments of

possible. Sets TraceStep to

ZFrac1/3

Sets the window variables so that you can trace in increments of

possible. Sets TraceStep to

86 Com mands and Functions Listing

and @X and @Y to

ZOOM

, if

B:ZFrac1/2

ZOOM

, if

C:ZFrac1/3

ZFrac1/4

Sets the window variables so that you can trace in increments of

possible. Sets TraceStep to

and @X and @Y to

ZFrac1/5

Sets the window variables so that you can trace in increments of

possible. Sets TraceStep to

and @X and @Y to

ZFrac1/8

Sets the window variables so that you can trace in increments of

possible. Sets TraceStep to

and @X and @Y to

ZFrac1/10

Sets the window variables so that you can trace in increments of

possible. Sets TraceStep to

and @X and @Y to

ZOOM

, if

D:ZFrac1/4

ZOOM

, if

E:ZFrac1/5

ZOOM

, if

F:ZFrac1/8

ZOOM

, if

G:ZFrac1/10

ZInteger

Redefines the viewing window using the following dimensions:

TraceStep=1, @X=0.5, Xscl=10, @Y=1, Yscl=10.

Commands and Functions Listing 87

† q

ZOOM

8:ZInteger

ZInterval ZIntervals[,listname,freqlist,confidence level]

(Data list input)

Computes a z confidence interval.

ZInterval ZIntervals,v,n[,confidence level]

(Summary stats input)

Computes a z confidence interval.

Zoom In

Magnifies the part of the graph that surrounds the cursor location.

Zoom Out

Displays a greater portion of the graph, centered on the cursor location.

ZoomFit

Recalculates Ymin and Ymax to include the minimum and ma ximum Y values, between X min and X max, of the se lected functions and replots the functions.

† …

TESTS

7:ZInterval

† …

TESTS

7:ZInterval

† q

ZOOM

2:Zoom In

† q

ZOOM

3:Zoom Out

† q

ZOOM

0:ZoomFit

ZoomRcl

Graphs the selected functions in a use r-defined viewing window.

88 Com mands and Functions Listing

† q

MEMORY

3:ZoomRcl

ZoomStat

Redefines the viewing window so that a ll statistical data points a re displayed.

ZoomSto

Immediately stores the current viewing window.

ZPrevious

Replots the graph using the window variables of the graph that was displayed before you executed the last ZOOM instruction.

ZQuadrant1

Displays the portion of the graph that is in quadrant 1.

ZSquare

Adjusts the X or Y window settings so that ea ch pixel represents an equal width and height in the coordinate system, and updates the viewing window.

† q

ZOOM

9:ZoomStat

† q

MEMORY

2:ZoomSto

† q

MEMORY

1:ZPrevious

ZOOM

A:ZQuadrant1

† q

ZOOM

5:ZSquare

ZStandard

Replots the functions immediately, updating the window variables to the default values.

Z-Test( Z-Test(m0,s

[,listname,freqlist,alternative,drawflag,color#]) (Data list input)

Performs a z test with frequency freqlist. alternative= L1 is <;

† q

ZOOM

6:ZStandard

† …

TESTS

1:Z-Test(

Commands and Functions Listing 89

Z-Test(

alternative=0 is ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

Z-Test( Z-Test(m0,s,v,n[,alternative,drawflag,color#])

(Summary stats input)

Performs a z test. alternative=L1 is <; alternative=0 is ;

alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates

results.

Color#: 10 - 24 or color nam e pa sted from [vars] COLOR.

ZTrig

Replots the functions immediately, updating the window variables to preset values for plotting trig functions.

† …

TESTS

1:Z-Test(

† q

ZOOM

7:ZTrig

90 Com mands and Functions Listing

Arithmetic Operations, Test Relations, and Symbols

! (factorial)

Factorial: value!

Returns factorial of value.

! (factorial)

Factorial: list!

Returns fa ctorial of listelements.

¡ (degrees notation)

Degrees notation: value¡

Interprets value as degrees; designa tes deg rees in DMS format.

(radian)

Radian: angle

Interprets angle a s radians.

PRB

4:!

PRB

4:!

y ;

ANGLE

1: ¡

y ;

ANGLE

(transpose)

Transpose: matrix

Returns a matrix in which each element (row, column) is swapped with the corresponding element (column, row) of

matrix.

‡

xthroot

‡value

Returns x

‡(

xthroot

‡list

root of value.

Arithmetic Operations, Test Relations, and Symbols 91

y >

MATH

‡

‡(

Returns x

‡(

list

Returns list roots of value.

‡(

listA

Returns listA roots of listB.

Cube: value

Returns the cube of a real or complex number, expression, list, or square matrix.

‡( (cube root)

Cube root:

Returns the cube root of a real or complex number, expression, or list.

‡value

(cube)

‡listB

root of list eleme nts.

‡(value)

MATH

4:3(

‡

= (equal)

Equal:

valueA=valueB

Returns 1 if valueA=valueB. Returns 0 if valueA valueB.

valueA and valueB ca n be rea l or com plex numbers,

expressions, lists, or ma trices.

92 A rithmetic Operations, Test Relations, and Symbols

y :

TEST

1:=

≠ (not equal)

Not equal:

valueA≠valueB

Returns 1 if valueA≠ valueB. Returns 0 if valueA=valueB.

valueA and valueB ca n be rea l or com plex numbers,

expressions, lists, or ma trices.

< (less than)

Less than:

valueA<valueB

Returns 1 if valueA<valueB. Returns 0 if valueA ‚ valueB.

valueA and valueB ca n be rea l or com plex numbers,

expressions, or lists.

> (greater than)

Greater than:

valueA>valueB

Returns 1 if valueA>valueB. Returns 0 if valueA { valueB.

valueA and valueB ca n be rea l or com plex numbers,

expressions, or lists.

{ (less or equal)

Less than or equal:

valueA{valueB

Returns 1 if valueA { valueB. Returns 0 if valueA>valueB.

valueA and valueB ca n be rea l or com plex numbers,

expressions, or lists.

y :

TEST

2: ≠

y :

TEST

5:<

y :

TEST

3:>

y :

TEST

6: {

≥ (greater or equal)

Greater than or equal:

valueA≥valueB

Returns 1 if valueA ≥ valueB. Returns 0 if valueA<valueB.

valueA and valueB ca n be rea l or com plex numbers,

expressions, or lists.

(inverse)

Inverse: value

Returns 1 divided by a real or com plex number or expression.

Arithmetic Operations, Test Relations, and Symbols 93

y :

TEST

4: ≥

(inverse)

Inverse: list

Returns 1 divided by list elements.

(inverse)

Inverse: matrix

Returns matrix inverted.

(square)

Square: value

Returns value m ultiplied by itself. value ca n be a real or complex number or expression.

(square)

Square: list

Returns list eleme nts squared.

(square)

Square: matrix

Returns matrix multiplied by itself.

^ (power)

Powers: value^power

Returns value raise d to power.value can be a real or complex number or expression.

^ (power)

Powers: list^power

Returns list eleme nts raised to power.

94 A rithmetic Operations, Test Relations, and Symbols

›

^ (power)

Powers: value^list

Returns value raise d to list elements.

^ (power)

Powers: matrix^power

Returns matrix elements raised to power.

L (negation)

Negation: Lvalue

Returns the negative of a real or complex number, expression, list, or matrix.

10^( (power of ten)

Power of ten: 10^(value)

Returns 10 raised to the value powe r. value can be a real or complex number or expression.

10^( (power of ten)

Power of ten: 10^(list)

Returns a list of 10 raised to the list

›

y G

‡( (square root)

Square root: ‡(value)

Returns square root of a real or complex number, expression, or list.

ä (multiply)

Multiplic ation:

valueAävalueB

Returns valueA times valueB.

ä (multiply)

Multiplic ation:

Arithmetic Operations, Test Relations, and Symbols 95

y C

ä (multiply)

valueälist

Returns value times ea ch list element.

ä (multiply)

Multiplic ation:

listävalue

Returns each list element times value.

ä (multiply)

Multiplic ation:

listAälistB

Returns listA elements times listB elements.

ä (multiply)

Multiplic ation:

valueämatrix

Returns value times matrix elem ents.

ä (multiply)

Multiplic ation:

matrixAämatrixB

Returns matrixA times matrixB.

à (divide)

Division: valueAàvalueB

Returns valueA divided by valueB

à (divide)

Division: listàvalue

Returns list eleme nts divided by value.

à (divide)

Division: valueàlist

96 A rithmetic Operations, Test Relations, and Symbols

Texas instruments TI-84 Plus CE User Manual

Specifications and Main Features

Frequently Asked Questions

User Manual

Important Information

What's New

What's New in the TI-84 Plus CE Reference Guide:

Introduction

CATALOG, Strings, Hyperbolic Functions

What Is the CATALOG?

Using Catalog Help

Entering and Using Strings

Storing Strings to String Variables

String Functions and Instructions in the CATALOG

Hyperbolic Functions in the CATALOG

Commands and Functions Listing

Alpha CATALOG Listing

Arithmetic Operations, Test Relations, and Symbols