Texas Instruments TI-83 User Manual

TI-83
GRAPHING CALCULATOR
GUIDEBOOK
TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Texas Instruments Incorporated.
© 1996, 2000, 2001 Texas Instruments Incorporated.
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Table of Contents

This manual describes how to use the TI.83 Graphing Calculator. Getting Started is an overview of TI.83 features. Chapter 1 describes how the TI.83 operates. Other chapters describe various interactive features. Chapter 17 shows how to combine these features to solve problems.

Getting Started: Do This First!

TI-83 Keyboard TI-83 Menus First Steps Entering a Calculation: The Quadratic Formula Converting to a Fraction: The Quadratic Formula Displaying Complex Results: The Quadratic Formula Defining a Function: Box with Lid Defining a Table of Values: Box with Lid Zooming In on the Table: Box with Lid Setting the Viewing Window: Box with Lid Displaying and Tracing the Graph: Box with Lid Zooming In on the Graph: Box with Lid Finding the Calculated Maximum: Box with Lid Other TI-83 Features
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2 4 5 6 7 8
9 10 11 12 13 15 16 17

Chapter 1: Operating the TI-83

Turning On and Turning Off the TI-83 Setting the Display Contrast The Display
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Entering Expressions and Instructions TI-83 Edit Keys Setting Modes Using TI-83 Variable Names Storing Variable Values Recalling Variable Values
(Last Entry) Storage Area
ENTRY
(Last Answer) Storage Area
Ans
TI-83 Menus
and
VARS
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Menus
VARS Y.VARS
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Equation Operating System (EOSé) Error Conditions
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1-2 1-3 1-4 1-6 1-8
1-9 1-13 1-14 1-15 1-16 1-18 1-19 1-21 1-22 1-24
Introduction iii

Chapter 2: Math, Angle, and Test Operations

Getting Started: Coin Flip Keyboard Math Operations
Operations
MATH
Using the Equation Solver
MATH NUM
(Number) Operations
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Entering and Using Complex Numbers
MATH CPX MATH PRB ANGLE TEST TEST LOGIC
(Complex) Operations (Probability) Operations
Operations
(Relational) Operations
(Boolean) Operations
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2-2
2-3
2-5
2-8 2-13 2-16 2-18 2-20 2-23 2-25 2-26

Chapter 3: Function Graphing

Chapter 4: Parametric Graphing

Chapter 5: Polar Graphing

Getting Started: Graphing a Circle Defining Graphs Setting the Graph Modes Defining Functions
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Selecting and Deselecting Functions Setting Graph Styles for Functions Setting the Viewing Window Variables Setting the Graph Format Displaying Graphs
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Exploring Graphs with the Free-Moving Cursor Exploring Graphs with Exploring Graphs with the Using
ZOOM MEMORY
Using the
(Calculate) Operations
CALC
Getting Started: Path of a Ball Defining and Displaying Parametric Graphs Exploring Parametric Graphs
Getting Started: Polar Rose Defining and Displaying Polar Graphs Exploring Polar Graphs
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TRACE
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Instructions
ZOOM
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3-2
3-3
3-4
3-5
3-7
3-9 3-11 3-13 3-15 3-17 3-18 3-20 3-23 3-25
4-2
4-4
4-7
5-2
5-3
5-6
iv Introduction

Chapter 6: Sequence Graphing

Getting Started: Forest and Trees Defining and Displaying Sequence Graphs Selecting Axes Combinations Exploring Sequence Graphs Graphing Web Plots
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Using Web Plots to Illustrate Convergence Graphing Phase Plots
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Comparing TI-83 and TI.82 Sequence Variables Keystroke Differences Between TI-83 and TI-82
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6-2
6-3
6-8
6-9 6-11 6-12 6-13 6-15 6-16

Chapter 7: Tables

Chapter 8: DRAW Operations

Chapter 9: Split Screen

Getting Started: Roots of a Function Setting Up the Table
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Defining the Dependent Variables Displaying the Table
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Getting Started: Drawing a Tangent Line Using the
DRAW
Clearing Drawings Drawing Line Segments Drawing Horizontal and Vertical Lines Drawing Tangent Lines Drawing Functions and Inverses Shading Areas on a Graph Drawing Circles Placing Text on a Graph Using Pen to Draw on a Graph Drawing Points on a Graph Drawing Pixels Storing Graph Pictures ( Recalling Graph Pictures ( Storing Graph Databases ( Recalling Graph Databases (
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Menu
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)
Pic
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)
Pic
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)
GDB
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)
GDB
Getting Started: Exploring the Unit Circle Using Split Screen
(Horizontal) Split Screen
Horiz
(Graph-Table) Split Screen
G-T
TI.83 Pixels in
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Horiz
and
G-T
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Modes
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7-2
7-3
7-4
7-5
8-2
8-3
8-4
8-5
8-6
8-8
8-9 8-10 8-11 8-12 8-13 8-14 8-16 8-17 8-18 8-19 8-20
9-2
9-3
9-4
9-5
9-6
Introduction v

Chapter 10: Matrices

Getting Started: Systems of Linear Equations Defining a Matrix Viewing and Editing Matrix Elements Using Matrices with Expressions Displaying and Copying Matrices Using Math Functions with Matrices Using the
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MATRX MATH
Operations
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10-2 10-3 10-4 10-7 10-8 10-9
10-12

Chapter 11: Lists

Chapter 12: Statistics

Chapter 13: Inferential Statistics and Distributions

Getting Started: Generating a Sequence Naming Lists Storing and Displaying Lists Entering List Names
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Attaching Formulas to List Names Using Lists in Expressions
Menu
LIST OPS LIST MATH
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Menu
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Getting Started: Pendulum Lengths and Periods Setting up Statistical Analyses Using the Stat List Editor Attaching Formulas to List Names Detaching Formulas from List Names Switching Stat List Editor Contexts Stat List Editor Contexts
Menu
STAT EDIT
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Regression Model Features
Menu
STAT CALC
Statistical Variables
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Statistical Analysis in a Program Statistical Plotting
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Statistical Plotting in a Program
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Getting Started: Mean Height of a Population Inferential Stat Editors
STAT TESTS
Menu Inferential Statistics Input Descriptions Test and Interval Output Variables Distribution Functions Distribution Shading
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11-2 11-3 11-4 11-6 11-7
11-9 11-10 11-17
12-2 12-10 12-11 12-14 12-16 12-17 12-18 12-20 12-22 12-24 12-29 12-30 12-31 12-37
13-2
13-6
13-9 13-26 13-28 13-29 13-35
vi Introduction

Chapter 14: Financial Functions

Getting Started: Financing a Car Getting Started: Computing Compound Interest Using the
TVM Solver
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Using the Financial Functions Calculating Time Value of Money ( Calculating Cash Flows
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Calculating Amortization Calculating Interest Conversion
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)
TVM
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Finding Days between Dates/Defining Payment Method Using the
TVM
Variables
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14-2
14-3
14-4
14-5
14-6
14-8
14-9 14-12 14-13 14-14

Chapter 15: CATALOG, Strings, Hyperbolic Functions

Chapter 16: Programming

Chapter 17: Applications

Browsing the TI-83
CATALOG
Entering and Using Strings Storing Strings to String Variables String Functions and Instructions in the Hyperbolic Functions in the
Getting Started: Volume of a Cylinder Creating and Deleting Programs Entering Command Lines and Executing Programs Editing Programs
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Copying and Renaming Programs
PRGM CTL PRGM I/O
(Control) Instructions
(Input/Output) Instructions
Calling Other Programs as Subroutines
Comparing Test Results Using Box Plots Graphing Piecewise Functions Graphing Inequalities
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Solving a System of Nonlinear Equations Using a Program to Create the Sierpinski Triangle Graphing Cobweb Attractors Using a Program to Guess the Coefficients Graphing the Unit Circle and Trigonometric Curves Finding the Area between Curves Using Parametric Equations: Ferris Wheel Problem
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CATALOG
CATALOG
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Demonstrating the Fundamental Theorem of Calculus Computing Areas of Regular N-Sided Polygons Computing and Graphing Mortgage Payments
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15-2
15-3
15-4
15-6 15-10
16-2
16-4
16-5
16-6
16-7
16-8 16-16 16-22
17-2
17-4
17-5
17-6
17-7
17-8
17-9 17-10 17-11 17-12 17-14 17-16 17-18
Introduction vii

Chapter 18: Memory Management

Checking Available Memory Deleting Items from Memory
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Clearing Entries and List Elements Resetting the TI.83
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18-2
18-3
18-4
18-5

Chapter 19: Communication Link

Appendix A: Tables and Reference Information

Appendix B: General Information

Index

Getting Started: Sending Variables TI-83 Selecting Items to Send Receiving Items Transmitting Items Transmitting Lists to a TI-82
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LINK
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Transmitting from a TI-82 to a TI-83 Backing Up Memory
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Table of Functions and Instructions Menu Map Variables Statistical Formulas Financial Formulas
Battery Information In Case of Difficulty Error Conditions Accuracy Information Support and Service Information Warranty Information
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19-2
19-3
19-4
19-5
19-6
19-8
19-9 19-10
A-2 A-39 A-49 A-50 A-54
B-2
B-4
B-5 B-10 B-12 B-13
viii Introduction

Getting Started: Do This First!

Contents
TI-83 Keyboard TI-83 Menus First Steps Entering a Calculation: The Quadratic Formula Converting to a Fraction: The Quadratic Formula
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Displaying Complex Results: The Quadratic Formula Defining a Function: Box with Lid Defining a Table of Values: Box with Lid Zooming In on the Table: Box with Lid Setting the Viewing Window: Box with Lid Displaying and Tracing the Graph: Box with Lid Zooming In on the Graph: Box with Lid Finding the Calculated Maximum: Box with Lid Other TI.83 Features
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2 4 5 6 7 8
9 10 11 12 13 15 16 17
Getting Started 1

TI-83 Keyboard

Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys.

Keyboard Zones

Graphing Keys
Graphing keys access the interactive graphing features.
Editing keys allow you to edit expressions and values.
Advanced function keys display menus that access the advanced functions.
Scientific calculator keys access the capabilities of a standard scientific calculator.
Editing Keys
Advanced Function Keys
Scientific Calculator Keys
2 Getting Started

Using the Color-Coded Keyboard

The keys on the TI.83 are color-coded to help you easily locate the key you need.
The gray keys are the number keys. The blue keys along the right side of the keyboard are the common math functions. The blue keys across the top set up and display graphs.
The primary function of each key is printed in white on the key. For example, when you press
, the
MATH
menu is
displayed.
Using the and
y
ƒ
Keys
The y key accesses the second function printed in yellow above each key.
The secondary function of each key is printed in yellow above the key. When you press the yellow y key, the character, abbreviation, or word printed in yellow above the other keys becomes active for the next keystroke. For example, when you press y and then
, the
TEST
menu is displayed. This guidebook describes this keystroke combination as y [
TEST
].
The alpha function of each key is printed in green above the key. When you press the green
ƒ
key, the alpha character printed in green above the other keys becomes active for the next keystroke. For example, when you press
ƒ
and then
guidebook describes this keystroke combination as
A
].
[
, the letter
A is entered. This
ƒ
The ƒ key accesses the alpha function printed in green above each key.
Getting Started 3
A

TI-83 Menus

Displaying a Menu

While using your TI.83, you often will need to access items from its menus.
When you press a key that displays a menu, that menu temporarily replaces the screen where you are working. For example, when you press as a full screen.
fter you select an item from a menu, the screen where you are working usually is displayed again.

Moving from One Menu to Another

Some keys access more than one menu. When you press such a key, the names of all accessible menus are displayed on the top line. When you highlight a menu name, the items in that menu are displayed. Press ~ and
|
to highlight each menu name.

Selecting an Item from a Menu

The number or letter next to the current menu item is highlighted. If the menu continues beyond the screen, a down arrow ( replaces the colon ( item. If you scroll beyond the last displayed item, an up arrow ( the first item displayed.You can select an item in either of two ways.
¦
Press † or } to move the cursor to the number or letter of the item; press
¦
Press the key or key combination for the number or letter next to the item.
, the
menu is displayed
MATH
:
) in the last displayed
#
) replaces the colon in
$
)
Í
.

Leaving a Menu without Making a Selection

You can leave a menu without making a selection in any of three ways.
¦
Press
to return to the screen
where you were.
¦
Press y [
QUIT
] to return to the home
screen.
¦
Press a key for another menu or screen.
4 Getting Started

First Steps

Before starting the sample problems in this chapter, follow the steps on this page to reset the TI.83 to its factory settings and clear all memory. This ensures that the keystrokes in this chapter will produce the illustrated results.
To reset the TI.83, follow these steps.
1. Press É to turn on the calculator.
2. Press and release y, and then press
MEM
[
] (above Ã).
When you press y, you access the operation printed in yellow above the next key that you press. [
y
operation of the à key.
The
MEMORY
3. Press 5 to select 5:Reset.
The
menu is displayed.
RESET
4. Press 1 to select 1:All Memory.
The
RESET MEMORY
MEM
] is the
menu is displayed.
menu is displayed.
5. Press 2 to select 2:Reset.
All memory is cleared, and the calculator is reset to the factory default settings.
When you reset the TI.83, the display contrast is reset.
¦
If the screen is very light or blank, press and release y, and then press and hold } to darken the screen.
¦
If the screen is very dark, press and release y, and then press and hold to lighten the screen.
Getting Started 5
Entering a Calculation: The Quadratic Formula
Use the quadratic formula to solve the quadratic equations 3X2 + 5X + 2 = 0
2
and 2X
1. Press
2. Press
3. Press
4. Press
N X + 3 = 0. Begin with the equation 3X2 + 5X + 2 = 0.
¿ ƒ
3
[A] (above
store the coefficient of the X
ƒ
:
] (above Ë). The colon
[
2
term.
) to
allows you to enter more than one instruction on a line.
¿ ƒ
5
[B] (above
store the coefficient of the X
ƒ
the same line. Press (above
:
[
] to enter a new instruction on
¿ ƒ
2
) to store the constant.
Í
to store the values to the
term. Press
[C]
) to
variables A, B, and C.
The last value you stored is shown on the right side of the display. The cursor moves to the next line, ready for your next entry.
5. Press £ Ì
¡ ¹ ƒ
ƒ
[B] Ã y [‡]
ƒ
4
A
[
] ¤ to enter the expression for
[A]
ƒ
[C] ¤ ¤ ¥ £ 2
one of the solutions for the quadratic formula,
2
6. Press
equation 3X
4
+−
bb ac
2
a
Í
to find one solution for the
2
+ 5X + 2 = 0.
The answer is shown on the right side of the display. The cursor moves to the next line, ready for you to enter the next expression.
6 Getting Started
ƒ
[B]
Converting to a Fraction: The Quadratic Formula
You can show the solution as a fraction.
1. Press
to display the
MATH
menu.
2. Press 1 to select 1:
4
Frac from the
MATH
menu.
When you press the home screen.
1, Ans4Frac is displayed on
Ans is a variable that
contains the last calculated answer.
3. Press
Í
to convert the result to a
fraction.
To save keystrokes, you can recall the last expression you entered, and then edit it for a new calculation.
4. Press y [
ENTRY
] (above
Í
) to recall the fraction conversion entry, and then press y [
ENTRY
] again to recall the
quadratic-formula expression,
2
bb ac
4
+−
2
a
5. Press } to move the cursor onto the + sign in the formula. Press ¹ to edit the quadratic-formula expression to become:
2
6. Press the quadratic equation 3X
4
−−
bb ac
2
a
Í
to find the other solution for
2
+ 5X + 2 = 0.
Getting Started 7
Displaying Complex Results: The Quadratic Formula
Now solve the equation 2X2 N X + 3 = 0. When you set a+b mode, the TI.83 displays complex results.
1. Press
z † † † † † †
(6 times), and
then press ~ to position the cursor over
a+b
i
. Press
Í
to select
a+b
i
complex-
number mode.
QUIT
2. Press y [
] (above
the home screen, and then press
z
) to return to
to
clear it.
C
]
Í
¿ ƒ
B
[
.
3. Press 2
¿ ƒ
[
The coefficient of the X
ƒ
]
[A]
[ : ] 3
ƒ
[ : ] Ì 1
¿ ƒ
2
term, the coefficient of the X term, and the constant for the new equation are stored to A, B, and C, respectively.
4. Press y [ instruction, and then press y [
ENTRY
] to recall the store
ENTRY
] again to recall the quadratic-formula expression,
2
5. Press equation 2X
4
−−
bb ac
2
a
Í
to find one solution for the
2
N X + 3 = 0.
i
complex number
6. Press y [
ENTRY
] repeatedly until this
quadratic-formula expression is displayed:
2
7. Press the quadratic equation: 2X
Note:
Solver (Chapter 2).
4
bb ac
+−
2
a
Í
to find the other solution for
An alternative for solving equations for real numbers is to use the built-in Equation
2
N X + 3 = 0.
8 Getting Started
v
Defining a Function: Box with Lid
Take a 20 cm. × 25 cm. sheet of paper and cut X × X squares from two corners. Cut X × 12.5 cm. rectangles from the other two corners as shown in the diagram below. Fold the paper into a box with a lid. What value of X would give your box the maximum volume V? Use the table and graphs to determine the solution.
Begin by defining a function that describes the
olume of the box.
From the diagram: 2X + A = 20
2X + 2B = 25 V = A B X
Substituting: V = (20 N 2X) (25à2 N X) X
1. Press o to display the Y= editor, which is where you define functions for tables and graphing.
2. Press £ 20 ¹ 2
„ ¤ „ Í
volume function as
lets you enter
having to press
„ ¤ £
to define the
1
Y
in terms of X.
X quickly, without
ƒ
. The highlighted
25 ¥ 2
¹
=
sign indicates that Y1 is selected.
X
20
A
X B X B
25
Getting Started 9
Defining a Table of Values: Box with Lid
The table feature of the TI.83 displays numeric information about a function. You can use a table of values from the function defined on page 9 to estimate an answer to the problem.
1. Press y [ display the
2. Press
3. Press
@
Tbl=1
Depend: Auto so that the table will be
TBLSET
] (above
TABLE SETUP
Í
to accept
Í
1
to define the table increment
. Leave Indpnt: Auto and
generated automatically.
4. Press y [
TABLE
] (above
the table.
Notice that the maximum value for (box’s volume) occurs when X is about 4, between
3 and 5.
5. Press and hold † to scroll the table until a negative result for
Notice that the maximum length of this problem occurs where the sign of (box’s volume) changes from positive to negative, between
6. Press y [
Notice that
TBLSET
10 and 11.
].
TblStart has changed to 6 to
reflect the first line of the table as it was last displayed. (In step 5, the first value of
X displayed in the table is 6.)
p
menu.
TblStart=0.
s
1
Y
is displayed.
) to
) to display
1
Y
X for
1
Y
10 Getting Started
Zooming In on the Table: Box with Lid
You can adjust the way a table is displayed to get more information about a
@
defined function. With smaller values for
1. Press
Í
3
to set
to set TblStart. Press Ë 1
@
Tbl
.
Í
This adjusts the table setup to get a more accurate estimate of volume
1
Y
.
X for maximum
Tbl
, you can zoom in on the table.
2. Press y [
TABLE
].
3. Press † and } to scroll the table.
1
Y
Í
is
to
@
Tbl
Notice that the maximum value for
410.26, which occurs at X=3.7. Therefore,
the maximum occurs where
4. Press y [ set
5. Press y [
TBLSET
TblStart. Press
TABLE
]. Press 3
Ë
], and then press † and
01
Ë
Í
3.6<X<3.8.
6
to set
to scroll the table.
Four equivalent maximum values are shown,
3.70.
410.60 at X=3.67, 3.68, 3.69, and
6. Press † and } to move the cursor to 3.67. Press ~ to move the cursor into the
1
Y
column.
1
Y
The value of
at X=3.67 is displayed on
the bottom line in full precision as
410.261226.
7. Press † to display the other maximums.
1
Y
The value of
410.264064, at X=3.69 is 410.262318, and at X=3.7 is 410.256.
at X=3.68 in full precision is
The maximum volume of the box would occur at
3.68 if you could measure and cut
the paper at .01-cm. increments.
.
}
Getting Started 11
Setting the Viewing Window: Box with Lid
You also can use the graphing features of the TI.83 to find the maximum value of a previously defined function. When the graph is activated, the viewing window defines the displayed portion of the coordinate plane. The values of the window variables determine the size of the viewing window.
1. Press
p
to display the window editor, where you can view and edit the values of the window variables.
The standard window variables define the viewing window as shown.
Ymin, and Ymax define the boundaries of
the display.
Xscl and Yscl define the
Xmin, Xmax,
distance between tick marks on the
Y axes. Xres controls resolution.
2. Press 0
3. Press
Í
to define Xmin.
¥
20
2 to define Xmax using an
expression.
4. Press
5. Press
Í
. The expression is evaluated,
and
10 is stored in Xmax. Press
accept
Xscl as 1.
Í
0
500
Í
100
Í
Í
to define the remaining window variables.
X and
1
to
Í
Xmin
Ymax
Xscl
Xmax
Yscl
Ymin
12 Getting Started
Displaying and Tracing the Graph: Box with Lid
Now that you have defined the function to be graphed and the window in which to graph it, you can display and explore the graph. You can trace along a function using the
1. Press
s
to graph the selected function
in the viewing window.
The graph of
Y1=(20N2X)(25à2NX)X is
displayed.
2. Press ~ to activate the free-moving graph cursor.
The
X and Y coordinate values for the
position of the graph cursor are displayed on the bottom line.
3. Press |, ~, }, and † to move the free­moving cursor to the apparent maximum of the function.
As you move the cursor, the coordinate values are updated continually.
TRACE
feature.
X and Y
Getting Started 13
on the
r
. The trace cursor is displayed
1
Y
function.
4. Press
The function that you are tracing is displayed in the top-left corner.
5. Press | and ~ to trace along at a time, evaluating
1
Y
Y
at each X.
You also can enter your estimate for the maximum value of
Ë
3
6. Press while in
8. When you press a number key
TRACE
X.
, the X= prompt is displayed
in the bottom-left corner.
1
, one X dot
7. Press
Í
.
The trace cursor jumps to the point on the
1
Y
function evaluated at X=3.8.
8. Press | and ~ until you are on the maximum
This is the maximum of
Y value.
Y1(X) for the X
pixel values. The actual, precise maximum may lie between pixel values.
14 Getting Started
Zooming In on the Graph: Box with Lid
To help identify maximums, minimums, roots, and intersections of functions, you can magnify the viewing window at a specific location using the instructions.
1. Press
q
to display the
ZOOM
menu.
This menu is a typical TI.83 menu. To select an item, you can either press the number or letter next to the item, or you can press † until the item number or letter is highlighted, and then press
Í
.
2. Press 2 to select 2:Zoom In.
The graph is displayed again. The cursor has changed to indicate that you are using a
ZOOM
instruction.
3. With the cursor near the maximum value of the function (as in step 8 on page 14),
Í
press
.
The new viewing window is displayed. Both
XmaxNXmin and YmaxNYmin have
been adjusted by factors of 4, the default values for the zoom factors.
4. Press
p
to display the new window
settings.
ZOOM
Getting Started 15
Finding the Calculated Maximum: Box with Lid
You can use a
CALCULATE
menu operation to calculate a local maximum of a
function.
1. Press y [ the
CALCULATE
4:maximum.
CALC
] (above menu. Press 4 to select
r
) to display
The graph is displayed again with a
Left Bound? prompt.
2. Press | to trace along the curve to a point to the left of the maximum, and then press
Í
.
4
A
at the top of the screen indicates the
selected bound.
A
Right Bound? prompt is displayed.
3. Press ~ to trace along the curve to a point to the right of the maximum, and then
Í
press
3
A
at the top of the screen indicates the
.
selected bound.
A
Guess? prompt is displayed.
4. Press | to trace to a point near the maximum, and then press
Or, press
Ë
3
8, and then press
Í
.
Í
to
enter a guess for the maximum.
When you press a number key in the
X= prompt is displayed in the bottom-
TRACE
,
left corner.
Notice how the values for the calculated maximum compare with the maximums found with the free-moving cursor, the trace cursor, and the table.
Note:
In steps 2 and 3 above, you can enter values directly for Left Bound and Right Bound, in the same way as described in step 4.
16 Getting Started

Other TI-83 Features

Getting Started has introduced you to basic TI.83 operation. This guidebook describes in detail the features you used in Getting Started. It also covers the other features and capabilities of the TI.83.

Graphing

You can store, graph, and analyze up to 10 functions (Chapter 3), up to six parametric functions (Chapter 4), up to six polar functions (Chapter 5), and up to three sequences (Chapter 6). You can use
DRAW
operations to
annotate graphs (Chapter 8).

Sequences

Tables

Split Screen

Matrices

Lists

Statistics

You can generate sequences and graph them over time. Or, you can graph them as web plots or as phase plots (Chapter 6).
You can create function evaluation tables to analyze many functions simultaneously (Chapter 7).
You can split the screen horizontally to display both a graph and a related editor (such as the
editor), the
Y=
table, the stat list editor, or the home screen. Also, you can split the screen vertically to display a graph and its table simultaneously (Chapter 9).
You can enter and save up to 10 matrices and perform standard matrix operations on them (Chapter 10).
You can enter and save as many lists as memory allows for use in statistical analyses. You can attach formulas to lists for automatic computation. You can use lists to evaluate expressions at multiple values simultaneously and to graph a family of curves (Chapter 11).
You can perform one- and two-variable, list-based statistical analyses, including logistic and sine regression analysis. You can plot the data as a histogram, xyLine, scatter plot, modified or regular box-and-whisker plot, or normal probability plot. You can define and store up to three stat plot definitions (Chapter 12).
Getting Started 17

Inferential Statistics

You can perform 16 hypothesis tests and confidence intervals and 15 distribution functions. You can display hypothesis test results graphically or numerically (Chapter 13).

Financial Functions

CATALOG

Programming

Communication Link

You can use time-value-of-money (
) functions to
TVM
analyze financial instruments such as annuities, loans, mortgages, leases, and savings. You can analyze the value of money over equal time periods using cash flow functions. You can amortize loans with the amortization functions (Chapter 14).
The
CATALOG
is a convenient, alphabetical list of all functions and instructions on the TI.83. You can paste any function or instruction from the
CATALOG
to the current
cursor location (Chapter 15).
You can enter and store programs that include extensive control and input/output instructions (Chapter 16).
The TI.83 has a port to connect and communicate with another TI.83, a TI.82, the Calculator-Based Laboratory (CBL 2é, CBLé) System, a Calculator-Based Ranger
é
é
(CBRé), or a personal computer. The unit-to-unit link cable is included with the TI.83 (Chapter 19).
18 Getting Started
Operatin
g
1
Contents
the TI-83
Turning On and Turning Off the TI.83 Setting the Display Contrast The Display Entering Expressions and Instructions TI.83 Edit Keys Setting Modes Using TI.83 Variable Names Storing Variable Values Recalling Variable Values
ENTRY
(Last Answer) Storage Area
Ans
TI.83 Menus
VARS
Equation Operating System (EOSé) Error Conditions
..............................................
..........................................
...........................................
(Last Entry) Storage Area
.............................................
and
VARS Y.VARS
.........................................
.............................
.............................
..................................
................................
........................
.........................
.........................
Menus
....................
...................
.....................
1-2 1-3 1-4 1-6 1-8
1-9 1-13 1-14 1-15 1-16 1-18 1-19 1-21 1-22 1-24
Operating the TI-83 1-1

Turning On and Turning Off the TI-83

Turning On the Calculator

Turning Off the Calculator

Batteries

To turn on the TI.83, press É.
If you previously had turned off the calculator by pressing y [
OFF
], the TI.83 displays the home screen
as it was when you last used it and clears any error.
If Automatic Power Down™ (APDé) had previously turned off the calculator, the TI.83 will return exactly as you left it, including the display, cursor, and any error.
To prolong the life of the batteries, APD turns off the TI.83 automatically after about five minutes without any activity.
OFF
To turn off the TI.83 manually, press y [
All settings and memory contents are retained by
].
Constant Memoryé.
Any error condition is cleared.
The TI.83 uses four AAA alkaline batteries and has a user­replaceable backup lithium battery (CR1616 or CR1620). To replace batteries without losing any information stored in memory, follow the steps in Appendix B.
1-2 Operating the TI-83

Setting the Display Contrast

Adjusting the Display Contrast

When to Replace Batteries

You can adjust the display contrast to suit your viewing angle and lighting conditions. As you change the contrast setting, a number from
0 (lightest) to 9 (darkest) in the
top-right corner indicates the current level. You may not be able to see the number if contrast is too light or too dark.
Note:
The TI.83 has 40 contrast settings, so each number
represents four settings.
0
through
The TI.83 retains the contrast setting in memory when it is turned off.
To adjust the contrast, follow these steps.
1. Press and release the y key.
2. Press and hold † or }, which are below and above the contrast symbol (yellow, half-shaded circle).
lightens the screen.
}
darkens the screen.
Note:
If you adjust the contrast setting to completely blank. To restore the screen, press and release y, and then press and hold } until the display reappears.
0
, the display may become
When the batteries are low, a low-battery message is displayed when you turn on the calculator.
9
To replace the batteries without losing any information in memory, follow the steps in Appendix B.
Generally, the calculator will continue to operate for one or two weeks after the low-battery message is first displayed. After this period, the TI.83 will turn off automatically and the unit will not operate. Batteries must be replaced. All memory is retained.
Note:
The operating period following the first low-battery message could be longer than two weeks if you use the calculator infrequently.
Operating the TI-83 1-3

The Display

Types of Displays

Home Screen

Displaying Entries and Answers

The TI.83 displays both text and graphs. Chapter 3 describes graphs. Chapter 9 describes how the TI.83 can display a horizontally or vertically split screen to show graphs and text simultaneously.
The home screen is the primary screen of the TI.83. On this screen, enter instructions to execute and expressions to evaluate. The answers are displayed on the same screen.
When text is displayed, the TI.83 screen can display a maximum of eight lines with a maximum of 16 characters per line. If all lines of the display are full, text scrolls off the top of the display. If an expression on the home screen, the
editor (Chapter 3), or the program editor
Y=
(Chapter 16) is longer than one line, it wraps to the beginning of the next line. In numeric editors such as the window screen (Chapter 3), a long expression scrolls to the right and left.
When an entry is executed on the home screen, the answer is displayed on the right side of the next line.
Entry Answer
The mode settings control the way the TI.83 interprets expressions and displays answers (page 1.9).
If an answer, such as a list or matrix, is too long to display entirely on one line, an ellipsis (
...) is displayed to the right
or left. Press ~ and | to scroll the answer.
Entry Answer

Returning to the Home Screen

Busy Indicator

To return to the home screen from any other screen, press
QUIT
y
[
When the TI.83 is calculating or graphing, a vertical moving line is displayed as a busy indicator in the top-right corner of the screen. When you pause a graph or a program, the busy indicator becomes a vertical moving dotted line.
1-4 Operating the TI-83
].
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