Texas instruments TI-84 Plus CE User Manual

4.4 (5)

ReferenceGuideforthe

TI-84Plus CEGraphing Calculator

Catalog, Commands and Functions, Error Messages

Arithmetic Operations, Test Relations, and Symbols

Toobtainthe latest versionof the documentation, goto education.ti.com/go/download.

ImportantInformation

Except as otherwise expresslystatedinthe License that accompanies a program, Texas Instruments makes nowarranty, eitherexpressedorimplied, including but not limited toanyimpliedwarranties of merchantabilityandfitness fora particularpurpose, regarding anyprograms orbookmaterials andmakes suchmaterials available solely onan“as-is” basis. Innoevent shall Texas Instruments be liable toanyone forspecial, collateral, incidental, orconsequential damages inconnectionwithorarising out of the purchase oruse of these materials, andthe sole andexclusive liabilityof Texas Instruments, regardless of the form of action, shall not exceedthe purchase price of this product. Moreover, Texas Instruments shall not be liable foranyclaim of anykind whatsoeveragainst the use of these materials byanyotherparty.

© 2006 - 2017 Texas Instruments Incorporated

ImportantInformation ii

Texas instruments TI-84 Plus CE User Manual

Contents

Important Information

ii

What'sNew

1

What's New inthe 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 andUsing Strings

8

Storing Strings toString Variables

9

String Functions andInstructions inthe CATALOG

11

Hyperbolic Functions inthe CATALOG

16

CommandsandFunctionsListing

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,andSymbols

91

Error Messages

100

GeneralInformation

106

Texas Instruments Support andService

106

Service andWarrantyInformation

106

iv

What'sNew

What's New in theTI-84 Plus CE ReferenceGuide:

All items listedare new orupdatedentries inthe Reference Guide forthe TI-84 Plus CE Graphing Calculator.

Piecewise

New piecewise functiontosupport entryof functions as theyare seenintextbook. This commandcanbe foundin » MATHB:piecewise(.

New CONDITIONS submenuin y :supports fasterentryof intervals for piecewise functions.

Available foruse inall functiongraphing modes andall split screenmodes.

What'sNew 1

Introduction

Inthis Reference Guide youwill findthe following information:

CATALOG, Strings, Hyperbolic Functions - Includes instructions onbrowsing, using, entering strings, andotherfunctions inthe CATALOG.

Commands andFunctions Listing - Includes an alphabetical listing of all CATALOG items, referencing:

-FunctionorInstruction/Arguments

-Results

-KeyorKeys/MenuorScreen/Item

Arithmetic Operations, Test Relations, andSymbols - Items whose names are not alphabetic (suchas +, !, and>).

ErrorMessages - Includes a listing of errortypes withpossible causes and suggestedremedies.

2 Introduction

CATALOG, Strings, Hyperbolic Functions

What Is theCATALOG?

The CATALOG is analphabetical list of all functions andinstructions onthe

TI-84 Plus CE. Youalsocanaccess eachCATALOG item from a menuorthe keyboard, except:

The sixstring functions

The sixhyperbolic functions

The solve( instructionwithout the equationsolvereditor

The inferential stat functions without the inferential stat editors

Note: The onlyCATALOG programming commands youcanexecute from the home screenare GetCalc(, Get(, and Send(.

CATALOG,Strings,HyperbolicFunctions 3

Browsing theTI-84 Plus CE Catalog

Selecting anItem from the CATALOG

Tobrowse andselect a CATALOG item, follow these steps. 1. Press y Ntodisplaythe CATALOG.

The 4 inthe first columnis the selectioncursor.

2.Press † or } toscroll the CATALOG until the selectioncursorpoints tothe item youwant.

Tojumptothe first item beginning witha particularletter, press that letter; alpha-lockis on.

Items that beginwitha numberare inalphabetical orderaccording tothe first letterafterthe number. Forexample, 2-PropZTest( is among the items that beginwiththe letter P.

Functions that appearas symbols, suchas +, L1, <, and $(, follow the last item that begins with Z. Tojumptothe first symbol, !, press [q].

3.Press Í topaste the item tothe current screen.

Note:

From the topof the CATALOG menu, press } tomove tothe bottom. From the bottom, press † tomove tothe top.

WhenyourTI-84 Plus CE is inMathPrint™mode, manyfunctions will paste the MathPrint™template onthe home screen. Forexample, abs( pastes the absolute value template onthe home screeninsteadof abs(.

4 CATALOG,Strings,HyperbolicFunctions

MathPrint™

Classic

CATALOG,Strings,HyperbolicFunctions 5

Using Catalog Help

Displaying Catalog Help

YoucandisplayCatalog Helparguments forfunctions intwoways:

Using analpha/numeric functionlisting inthe catalog (e.g, y N).

Using the functions listedincertainmenus (e.g, »).

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

1.Displaythe menuthat contains the function.

2.Use } and/or † tomove the cursortothe function.

3.Press Ãtodisplayarguments forthe function. The cursoris onthe functionedit line.

Note:

The catalog (y N) is displayedinalphabetical order. Whenyoudisplaythe catalog, the alpha-lockis turnedon. Press the first letterof the functionname to skipfunctionnames that come before it alphabetically. Use } and/or † tomove the cursortothe function.

Not all catalog functions have associatedarguments. If the functiondoes not require anargument, Catalog Helpdisplays the message “Noarguments required forthis item.”

Catalog HelpCommands

Select MORE (if available) todisplaymore arguments forthe function.

6 CATALOG,Strings,HyperbolicFunctions

Use shortcut menus ƒ^ through a throughforargument values if available.

Enteryourargument values onthe functionedit line, andthenselect PASTE to paste the functionandthe argument values youentered.

Note:Youcanpaste tomost cursorlocations.

Select ESC toexit the Catalog Helpscreen.

CATALOG,Strings,HyperbolicFunctions 7

Entering and Using Strings

WhatIs a String?

A string is a sequence of characters that youenclose withinquotationmarks. Onthe TI-84 Plus CE, a string has twoprimaryapplications.

It defines text tobe displayedina program.

It accepts input from the keyboardina program. Characters are the units that youcombine toform a string.

Eachnumber, letter, andspace counts as one character.

Eachinstructionorfunctionname, suchas sin( or cos(, counts as one character;the TI-84 Plus CE interprets eachinstructionorfunctionname as one character.

Entering a String

Toentera string ona blankline onthe home screenorina program, follow these steps.

1.Press ƒW toindicate the beginning of the string.

2.Enterthe characters that comprise the string.

Use anycombinationof numbers, letters, functionnames, orinstructionnames tocreate the string.

Toentera blankspace, press ƒO.

Toenterseveral alpha characters ina row, press ƒ7toactivate alphalock.

3.Press ƒW toindicate the endof the string.

ãstringã

4.Press Í. Onthe home screen, the string is displayedonthe next line without quotations. Anellipsis (...) indicates that the string continues beyondthe screen. To scroll tosee the entire string, press ~ and |.

Note: A string must be enclosedinquotationmarks. The quotationmarks donot count as string characters.

8 CATALOG,Strings,HyperbolicFunctions

Storing Strings to String Variables

String Variables

The TI-84 Plus CE, has 10 variables towhichyoucanstore strings. Youcanuse string variables withstring functions andinstructions.

Todisplaythe VARSSTRING menu, follow these steps.

1. Press ½ todisplaythe VARS menu. Move the cursorto 7:String.

2. Press Í todisplaythe STRING secondarymenu.

Storing a String toa String Variable

Tostore a string toa string variable, follow these steps.

1.Press ƒW, enterthe string, andpress ƒW.

2.Press ¿.

3.Press ½ 7 todisplaythe VARSSTRING menu.

4.Select the string variable (from Str1 to Str9, or Str0) towhichyouwant tostore the string.

CATALOG,Strings,HyperbolicFunctions 9

The string variable is pastedtothe current cursorlocation, next tothe store symbol (!).

5.Press Í tostore the string tothe string variable. Onthe home screen, the storedstring is displayedonthe next line without quotationmarks.

Displaying the Contents of a String Variable

Todisplaythe contents of a string variable onthe home screen, select the string variable from the VARSSTRING menu, andthenpress Í. The string is displayed.

10 CATALOG,Strings,HyperbolicFunctions

String Functions and Instructions in theCATALOG

Displaying String Functions andInstructions inthe CATALOG

String functions andinstructions are available onlyfrom the CATALOG. The table below lists the string functions andinstructions inthe orderinwhichtheyappearamong the other CATALOG menuitems. The ellipses inthe table indicate the presence of additional CATALOG items.

CATALOG

...

Equ4String(

Converts anequationtoa string.

...

 

expr(

Converts a string toanexpression.

...

 

inString(

Returns a character’s place number.

...

 

length(

Returns a string’s characterlength.

...

 

String4Equ(

Converts a string toanequation.

sub(

Returns a string subset as a string.

...

 

Concatenation

 

Toconcatenate twoormore strings, follow these steps.

1.Enter string1, whichcanbe a string orstring name.

2.Press Ã.

3.Enter string2, whichcanbe a string orstring name. If necessary, press Ãand enter string3, andsoon.

string1+string2+string3...

4.Press Í todisplaythe strings as a single string.

CATALOG,Strings,HyperbolicFunctions 11

Selecting a String Functionfrom the CATALOG

Toselect a string functionorinstructionandpaste it tothe current screen, follow the steps forselecting anitem from the CATALOG.

Equ4String(

Equ4String( converts anequationtoa string. The equationmust be store ina

VARS Y-VARS variable. Yn contains the equation. Strn (from Str1 to Str9, or Str0) is the string variable towhichyouwant the equationtobe stored.

Equ4String(Yn,Strn)

expr(

expr( converts the characterstring containedin string toanexpressionandexecutes the expression. string canbe a string ora string variable.

expr(string)

inString(

inString( returns the characterpositionin string of the first characterof substring. string canbe a string ora string variable. start is anoptional characterpositionat whichtostart the search;the default is 1.

inString(string,substring[,start])

12 CATALOG,Strings,HyperbolicFunctions

Note: If string does not contain substring, or start is greaterthanthe lengthof string, inString( returns 0.

length(

length( returns the numberof characters in string. string canbe a string orstring variable.

Note: Aninstructionorfunctionname, suchas sin( or cos(, counts as one character.

length(string)

String4Equ(

String4Equ( converts string intoanequationandstores the equationto Yn. string can be a string orstring variable. String4Equ( is the inverse of Equ4String(.

String4Equ(string,Yn)

CATALOG,Strings,HyperbolicFunctions 13

sub(

sub( returns a string that is a subset of anexisting string. string canbe a string ora string variable. begin is the positionnumberof the first characterof the subset. length is the numberof characters inthe subset.

sub(string,begin,length)

Entering a FunctiontoGraphduring Program Execution

Ina program, youcanentera functiontographduring program executionusing these commands.

14 CATALOG,Strings,HyperbolicFunctions

Note: Whenyouexecute this program, entera functiontostore to Y3 at the ENTRY= prompt.

CATALOG,Strings,HyperbolicFunctions 15

Hyperbolic Functions in theCATALOG

Hyperbolic Functions

The hyperbolic functions are available onlyfrom the CATALOG. The table below lists the hyperbolic functions inthe orderinwhichtheyappearamong the other CATALOG menuitems. The ellipses inthe 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. Eachis validforreal numbers, expressions, andlists.

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. Eachis validforreal numbers, expressions, andlists.

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

16 CATALOG,Strings,HyperbolicFunctions

CATALOG,Strings,HyperbolicFunctions 17

Commandsand FunctionsListing

The purpose of this table of informationis toprovide a short descriptionwithsyntaxof commandarguments as appropriate andmenulocations foreachcommandor functioninthe Catalog listing inthe calculator.

This table is useful forexecuting commands whenusing the calculatororcreating TIBasic programs.

Items whose names are not alphabetic (suchas +, !, and>) are listedinthe Arithmetic Operations, Test Relations, andSymbols section. Unless otherwise specified, all examples inthis sectionwere performedinthe default reset mode, andall variables are assumedtobe the default value of 0.

From the CATALOG, youcanpaste anyfunctionorcommandtothe home screenortoa commandline inthe program editor.

The same syntaxinformationforfunctionandcommandarguments below is available onthe calculatorandalsointhe TI Connect™CE Program Editor.

Onthe calculator, pressing [+] whena functionorcommandis highlightedinthe menulisting will displaythe Catalog Helpsyntaxeditortoassist yourentries.

Using TI Connect™CE Program Editor, the catalog listing alsodisplays the syntaxof the arguments forfunctions andcommands.

Note that some functions andcommands are onlyvalidwhenexecutedina TI-Basic program andnot from the home screen.

The items inthis table appearinthe same orderas theyappearinthe CATALOG (y [catalog].)

Inthe table below, the symbol indicates eitherkeystrokes orcertaincommands whichare onlyavailable inthe Program Editormode onthe calculator. Press ¼ and select to EDIT anexisting program or NEW tostart a new program toset the calculator inthe Program Edit mode.

Some arguments are optional. Optional arguments will be indicatedwithin [ ] inthe syntaxhelpgiveninthe table below. [ ] are not symbols onthe calculatorandare not tobe typedin. Theyare usedhere onlytoindicate anoptional argument.

Onthe calculator, functions andcommands paste as "tokens." This means theypaste as one characterandnot as individual letters, symbols andspaces. Donot attempt to type inanyfunctionorcommandonthe calculator. Just paste the tokenfrom menu locations. Watchthe cursorjumpovertokens as youedit toget a betterunderstanding of tokens.

InTI Connect™CE Program Editor, youcan"feel" the same experience of pasting tokens whenusing the Catalog tree providedinthat editor. Youalsocantype inthe functions andcommands if youknow the correct format andsyntax. TI Connect™CE "tokenizes" the functions andcommands whenyousendthe program tothe calculator. However, youmust type inthe functions andcommands exactlyas the tokens. Note that some commands will have spaces as part of the tokenwhichyoumight not see. For example, Pause commandas a tokenhas a space at the end. Once yousendthe

18 CommandsandFunctionsListing

program tothe calculator, youcanrunthe program andif there are anysyntaxerrors, youcanfixthe issues oneitherthe calculatororinTI Connect™CE Program Editor.

CTL I/O

COLOR

EXEC

Color Numbers Names

10BLUE

11RED

12BLACK

13MAGENTA

14GREEN

15ORANGE

16BROWN

17NAVY

18LTBLUE

19YELLOW

20WHITE

21LTGRAY

22MEDGRAY

23GRAY

24DARKGRAY

Youcanalsochoose a name inthe ½ menu(COLOR sub-menu).

GraphColor(function#,color#)

Forexample,GraphColor(2,4)orGraphColor(2,MAGENTA).

CommandsandFunctionsListing 19

Alpha CATALOG Listing

A

abs()

abs(value)

Returnstheabsolutevalueofa realnumber,expression,list,ormatrix.

abs()

abs(complex value)

Returnsthemagnitudeofa complexnumberorlist.

and

valueA and valueB

Returns1(true)whenbothvalueA andvalueB aretrue.Otherwise, returnis0(false).

valueA andvalueB canberealnumbers,expressions,orlists.

TIConnect™ProgramEditorTip:

Noticethetokenis"_and_"where"_"isa space.

angle()

angle(value)

Returnsthepolarangleofa complexnumberorlistofcomplexnumbers.

ANOVA()

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

Performsa one-wayanalysisofvarianceforcomparing themeans oftwoto20populations.

Ans

Ans

Returnsthelastanswer.

»

NUM 1:abs(

»

CMPLX 5:abs(

y:

LOGIC 1:and

»

CMPLX 4:angle(

TESTS H:ANOVA(

yZ

20 CommandsandFunctionsListing

Archive

Archive variables

yL

Movesthespecifiedvariablefrom RAMtotheuserdata archive

5:Archive

 

memory.

 

Asm()

 

Asm(assemblyprgmname)

y

Executesanassemblylanguageprogram.

N

Asm(

 

AsmComp()

 

AsmComp(prgmASM1, prgmASM2)

y

Compilesanassemblylanguageprogram writteninASCIIandstoresthe

N

AsmComp(

hexversion.

Asm84CEPrgm

 

Asm84CEPrgm

yN

Mustbeusedasthefirstlineofanassemblylanguageprogram.

Asm84CEPrgm

 

augment()

 

augment( matrixA ,matrixB )

y>

Returnsa matrix,whichis matrixB appendedtomatrixA asnew

MATH

7:augment(

columns.

augment()

 

augment(listA,listB)

y9

Returnsa list,whichis listB concatenatedtotheendof listA.

OPS

9:augment(

 

AUTO Answer

 

AUTO

z

Displaysanswersina similarformatastheinput.

Answers:

AUTO

 

AxesOff

 

AxesOff

y

CommandsandFunctionsListing 21

AxesOff

Turnsoffthegraphaxes.

.

 

AxesOff

AxesOn

 

AxesOn[color#]

y

Turnsonthegraphaxeswithcolor.The color optionallowsthecolorofthe

.

AxesOn

axestobespecified.

Color#: 10 - 24orcolornamepastedfrom [vars]COLOR..

 

a+bi

 

a+bi

z

Setsthemodetorectangularcomplexnumberformat(a+bi).

a+b i

 

B

BackgroundOff

 

BackgroundOff

y<

Turnsoffbackgroundimageinthegrapharea.

BACKGROUND

2:BackgroundOff:

 

BackgroundOn

 

BackgroundOn n

y<

Displaysa menutheBackgroundImageVarn(Image#n)specifiedin

BACKGROUND

1:BackgroundOn

thegrapharea.

22 CommandsandFunctionsListing

bal(

bal(npmt[,roundvalue])

Computesthebalanceatnpmt foranamortizationscheduleusing storedvaluesforPV,æ,andPMTandroundsthecomputationto roundvalue.

binomcdf(

binomcdf(numtrials,p[,x])

Computesa cumulativeprobabilityatxforthediscretebinomial distributionwiththespecifiednumtrialsandprobabilityp ofsuccesson eachtrial.

binompdf(

binompdf(numtrials,p[,x])

Computesa probabilityatxforthediscretebinomialdistributionwiththe specifiednumtrialsandprobabilityp ofsuccessoneachtrial.

BorderColor

BorderColor[color#]

Turnsona bordercolorsurrounding thegrapharea withthespecified color.Color#:1-4.

Boxplot

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

DefinesPlot#(1,2,or3)oftype

C

checkTmr(

checkTmr(starttime)

ReturnsthenumberofsecondssinceyouusedstartTmr tostartthe timer.The starttimeisthevaluedisplayedbystartTmr.

Œ

1:Finance CALC 9:bal(

y=

DISTR B:binomcdf(

y=

DISTR A:binompdf(

y

.

BorderColor

y

,

TYPE

yN checkTmr(

CommandsandFunctionsListing 23

c2cdf(

c2cdf(lowerbound,upperbound,df)

Computesthe c2distributionprobabilitybetweenlowerbound and upperbound forthespecifieddegreesoffreedom df.

c2pdf(

c2pdf(x,df)

Computestheprobabilitydensityfunction(pdf)forthe c2distributionat a specifiedxvalueforthespecifieddegreesoffreedom df.

c2LTest(

c2LTest(observedmatrix,expectedmatrix [,drawflag,color#])

Performsa chi-squaretest.drawflag=1drawsresults; drawflag=0 calculatesresults.

Color#: 10 - 24orcolornamepastedfrom [vars]COLOR.

c2GOF

c2GOF-Test(observedlist,expectedlist,df [,drawflag,color#])

Performsa testtoconfirm thatsampledata isfrom a populationthat conformstoa specifieddistribution.

Color#: 10 - 24orcolornamepastedfrom [vars]COLOR.

Circle(

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

Drawsa circlewithcenter(X,Y)andradiuswithspecified Color#: 10 - 24orcolornamepastedfrom [vars]COLOR. linestyle#: 1-2.

y=

DISTR 8: c2 cdf(

y=

DISTR 7: c 2 pdf(

TESTS C: c 2 LTest

(

TESTS D: c 2 GOF L

Test(

y<

DRAW 9:Circle(

24 CommandsandFunctionsListing

CLASSIC

CLASSIC

Displaysinputsandoutputsona singleline,suchas1/2+3/4.

Clear Entries

Clear Entries

ClearsthecontentsoftheLastEntrystoragearea.

ClockOff

ClockOff

Turnsofftheclockdisplayinthemodescreen.

ClockOn

ClockOn

Turnsontheclockdisplayinthemodescreen.

ClrAllLists

ClrAllLists

Setsto0thedimensionofalllistsinmemory.

ClrDraw

ClrDraw

Clearsalldrawnelementsfrom a graphordrawing.

ClrHome

ClrHome

Clearsthehomescreen.

z

CLASSIC

yL

MEMORY 3:Clear Entries

y N

ClockOff

y N

ClockOn

yL

MEMORY 4:ClrAllLists

y<

DRAW 1:ClrDraw

¼

I/O

8:ClrHome

CommandsandFunctionsListing 25

ClrList

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

Setsthedimensionofoneormorelistnamesto0.

ClrTable

ClrTable

Clearsallvaluesfrom thetable.

conj(

conj(value)

Returnsthecomplexconjugateofa complexnumberorlistofcomplex numbers.

CoordOff

CoordOff

Turnsoffcursorcoordinatevaluedisplay.

CoordOn

CoordOn

Turnsoncursorcoordinatevaluedisplay.

cos(

cos(value)

Returnscosineofa realnumber,expression,orlist.

cosL1( cosL1(value)

Returnsarccosineofa realnumber,expression,orlist.

cosh(

cosh(value)

EDIT 4:ClrList

¼

I/O

9:ClrTable

»

CMPLX 1:conj(

y

.

CoordOff

y

.

CoordOn

y@

y

26 CommandsandFunctionsListing

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