Texas instruments TI-82 Guidebook

TI-82
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.
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© 1993, 2000, 2001 Texas Instruments Incorporated.
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Table of Contents

This manual describes how to use the TI.82 Graphing Calculator. Getting Started gives a quick overview of its features. The first chapter gives general instructions on operating the TI.82. Other chapters describe its interactive features. The applications in Chapter 14 show how to use these features together.
Using this Guidebook Effectively Glossary

Getting Started: Do This First!

TI.82 Menus First Steps
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Entering a Calculation: Compound Interest Defining a Function: Box with Lid Defining a Table of Values Zooming In on the Table Changing the Viewing Displaying and Tracing the Graph Zooming In on the Graph Finding the Calculated Maximum Other Features

Chapter 1: Operating the TI.82

Turning the TI.82 On and Off Setting the Display Contrast The Display
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Entering Expressions and Instructions TI.82 Edit Keys Setting Modes TI.82 Modes
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Variable Names Storing and Recalling Variable Values
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Last Entry Last Answer
TI.82 Menus
VARS
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and
Y-VARS
EOSé (Equation Operating System) Error Conditions
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WINDOW
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Menus
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viii
x
2 3 4 6 7
8 10 11 12 13 14
1-2 1-3 1-4 1-6 1-8
1-9 1-10 1-12 1-13 1-14 1-16 1-17 1-19 1-20 1-22
Introduction iii

Chapter 2: Math, Angle, and Test Operations

Getting Started: Lottery Chances Keyboard Math Operations
MATH MATH MATH NUM MATH HYP MATH PRB ANGLE TEST TEST TEST LOGIC

Chapter 3: Function Graphing

Operations
(Number) Operations (Hyperbolic) Operations (Probability) Operations
Operations
(Relational) Operations
(Boolean) Operations
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Getting Started: Graphing a Circle Defining a Graph Setting Graph Modes Defining Functions in the Selecting Functions Defining the Viewing Setting
WINDOW FORMAT
Displaying a Graph
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Y=
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WINDOW
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Exploring a Graph with the Free-Moving Cursor Exploring a Graph with Exploring a Graph with Using
ZOOM MEMORY
Setting
ZOOM FACTORS
Using

Chapter 4: Parametric Graphing

(Calculate) Operations
CALC
TRACE ZOOM
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Getting Started: Path of a Ball Defining and Displaying a Parametric Graph Exploring a Parametric Graph
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List
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2-2 2-3 2-5
2-9 2-11 2-12 2-13 2-15 2-16
3-2
3-3
3-4
3-5
3-7
3-8 3-10 3-11 3-13 3-14 3-16 3-19 3-21 3-22
4-2
4-3
4-6

Chapter 5: Polar Graphing

Getting Started: Polar Rose Defining and Displaying a Polar Graph Exploring a Polar Graph
iv Introduction
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5-2
5-3
5-6

Chapter 6: Sequence Graphing

Getting Started: Forest and Trees Defining and Displaying a Sequence Graph Exploring a Sequence Graph

Chapter 7: Tables

Getting Started: Roots of a Function Defining the Variables Defining the Dependent Variable Displaying the Table

Chapter 8: DRAW Operations

Getting Started: Shading a Graph
DRAW DRAW
Menu Drawing Lines 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
to Draw on a Graph
Pen
Drawing Points Drawing Pixels Storing and Recalling Graph Pictures Storing and Recalling Graph Databases Clearing a Drawing
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6-2 6-3 6-6
7-2 7-3 7-4 7-5
8-2 8-3 8-4 8-5 8-6 8-7 8-8
8-9 8-10 8-11 8-12 8-13 8-14 8-15 8-16

Chapter 9: Split Screen

Getting Started: Polynomial Coefficients Using Split Screen
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Introduction v
9-2
9-3

Chapter 10: Matrices

Getting Started: Systems of Linear Equations Defining a Matrix Viewing Matrix Elements Editing Matrix Elements About Matrices Matrix Math Functions
MATRIX MATH

Chapter 11: Lists

Getting Started: Generating Sequences About Lists
LIST OPS LIST MATH

Chapter 12: Statistics

Getting Started: Building Height and City Size Setting Up a Statistical Analysis Viewing List Elements Editing List Elements
STAT EDIT
Statistical Analysis Statistical Variables Types of Statistical Analysis Statistical Analysis in a Program Statistical Plotting Statistical Plotting in a Program
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Operations
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Operations
Operations
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Menu
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10-2 10-4 10-5 10-6
10-8 10-10 10-12
11-2
11-3
11-6
11-9
12-2
12-9 12-10 12-11 12-12 12-13 12-14 12-15 12-17 12-18 12-22

Chapter 13: Programming

Getting Started: Family of Curves About Programs Creating and Executing Programs Editing Programs
PRGM CTL PRGM I/O
Calling Other Programs
vi Introduction
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(Control) Instructions
(Input/Output) Instructions
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13-2
13-4
13-5
13-6
13-7 13-15 13-18

Chapter 14: Applications

Left-Brain, Right-Brain Test Results Speeding Tickets Buying a Car, Now or Later? Graphing Inequalities Solving a System of Nonlinear Equations Program: Sierpinski Triangle Cobweb Attractors Program: Guess the Coefficients The Unit Circle and Trigonometric Curves Ferris Wheel Problem Reservoir Problem Predator-Prey Model Fundamental Theorem of Calculus Finding the Area between Curves

Chapter 15: Memory Management

Checking Available Memory Deleting Items from Memory Resetting the TI.82

Chapter 16: Communication Link

Getting Started: Sending Variables TI.82
...................................
LINK
Selecting Items to Send Transmitting Items Receiving Items Backing Up Memory
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14-2
14-4
14-5
14-6
14-7
14-8
14-9 14-10 14-11 14-12 14-14 14-16 14-18 14-20
15-2
15-3
15-4
16-2
16-3
16-4
16-6
16-7
16-8

Appendix A: Tables

Tables of Functions and Instructions Menu Map
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Table of System Variables

Appendix B: Reference Information

Battery Information In Case of Difficulty Accuracy Information Error Conditions
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Service and Support Information Warranty Information

Index

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Introduction vii
A-2 A-22 A-28
B-2
B-4
B-5
B-7 B-11 B-12

Using this Guidebook Effectively

The structure of the TI.82 guidebook and the design of its pages can help you find the information you need quickly. Consistent presentation techniques are used throughout to make the guidebook easy to use.

Structure of the Guidebook

The guidebook contains sections that teach you how to use the calculator.
¦
Getting Started is a fast-paced keystroke-by-keystroke introduction.
¦
Chapter 1 describes general operation and lays the foundation for Chapters 2 through 13, which describe specific functional areas of the TI.82. Each begins with a brief Getting Started introduction.
¦
Chapter 14 contains application examples that incorporate features from different functional areas of the calculator. These examples can help you see how different functional areas work together to accomplish meaningful tasks.
¦
Chapter 15 describes memory management and Chapter 16 describes the communications link.

Page-Design Conventions

When possible, units of information are presented on a single page or on two facing pages. Several page-design elements help you find information quickly.
¦
Page headings—The descriptive heading at the top of the page or two­page unit identifies the subject of the unit.
¦
General text—Just below the page heading, a short section of bold text provides general information about the subject covered in the unit.
¦
Left-column subheadings—Each subheading identifies a specific topic or task related to the page or unit subject.
¦
Specific text—The text to the right of a subheading presents detailed information about that specific topic or task. The information may be presented as paragraphs, numbered procedures, bulleted lists, or illustrations.
¦
Page “footers”—The bottom of each page shows the chapter name, chapter number, and page number.
viii Introduction

Information-Mapping Conventions

Several conventions are used to present information concisely and in an easily referenced format.
¦
Numbered procedures—A procedure is a sequence of steps that performs a task. In this guidebook, each step is numbered in the order in which it is performed. No other text in the guidebook is numbered; therefore, when you see numbered text, you know you must perform the steps sequentially.
¦
Bulleted” lists—If several items have equal importance, or if you may choose one of several alternative actions, this guidebook precedes each item with a “bullet” (
¦
Tables and charts—Sets of related information are presented in tables or charts for quick reference.
¦
Keystroke Examples—The Getting Started examples provide keystroke-by-keystroke instructions, as do examples identified with a
.

Reference Aids

Several techniques have been used to help you look up specific information when you need it. These include:
¦
A chapter table of contents on the first page of each chapter, as well as the full table of contents at the front of the guidebook.
¦
A glossary at the end of this section, defining important terms used throughout the guidebook.
¦
An alphabetical table of functions and instructions in Appendix A, showing their correct formats, how to access them, and page references for more information.
¦
Information about system variables in Appendix A.
¦
A table of error messages in Appendix B, showing the messages and their meanings, with problem-handling information.
¦
An alphabetical index at the back of the guidebook, listing tasks and topics you may need to look up.
¦
) to highlight it—like this list.
Introduction ix

Glossary

v v
This glossary provides definitions for important terms that are used throughout this guidebook.
Expression
Function
Graph Database
Graph Picture
Home Screen
Instruction
List
Matrix
Menu Items Pixel
Variable
An expression is a complete sequence of numbers, variables, functions, and their arguments that can be evaluated to a single answer.
A function, which may have arguments, returns a value and can be used in an expression.
A function is also the expression entered in the in graphing and
TABLE
.
editor used
Y=
A graph database is composed of the elements that define a graph: functions in the
Y=
list,
MODE
settings, and
WINDOW
settings. They may be saved as a unit in a graph database to recreate the graph later.
A picture is a saved image of a graph display, excluding cursor coordinates, axis labels, tick marks, and prompts. It may be superimposed on another graph.
The Home Screen is the primary screen of the TI.82, where expressions can be entered and evaluated and instructions can be entered and executed.
An instruction, which may have arguments, initiates an action. Instructions are not valid in expressions.
A list is a set of values that the TI.82 can use for activities such as graphing a family of curves, evaluating a function at multiple
alues, and entering statistical data.
A matrix is a two-dimensional array on which the TI.82 can perform operations.
Menu items are shown on full-screen menus.
A pixel (picture element) is a square dot on the TI.82 display. The TI.82 display is 96 pixels wide and 64 pixels high.
A variable is the name given to a location in memory in which a
alue, an expression, a list, a matrix, or another named item is
stored.
x Introduction

Getting Started: Do This First!

Getting Started contains two keystroke-by-keystroke examples, an interest rate problem and a volume problem, that introduce you to some principal operating and graphing features of the TI.82. You will learn to use the TI.82 much more quickly by completing both of these examples first.
Contents
TI.82 Menus First Steps Entering a Calculation: Compound Interest Defining a Function: Box with Lid Defining a Table of Values Zooming In on the Table Changing the Viewing Displaying and Tracing the Graph Zooming In on the Graph Finding the Calculated Maximum Other Features
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WINDOW
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2 3 4 6 7
8 10 11 12 13 14
Getting Started 1

TI-82 Menus

A
A
To leave the keyboard uncluttered, the TI.82 uses full-screen menus to access many additional operations. The use of specific menus is described in the appropriate chapters.

Displaying a Menu

When you press a key that accesses a menu, such
as screen where you are working.
usually are returned to the screen where you were.

Moving from One Menu to Another

names of the menus appear on the top line. The current menu is highlighted and the items in that menu are displayed.
Use ~ or | to display a different menu.

Selecting an Item from a Menu

The number of the current item is highlighted. If there are more than seven items on the menu, a appears on the last line in place of the : (colon).
To select from a menu:
¦
¦

Leaving without Making a Selection

To leave a menu without making a selection:
¦
¦
¦
, that menu screen temporarily replaces the
fter you make a selection from a menu, you
menu key may access more than one menu. The
Use † and } to move the cursor to the item and then press
Í
.
Press the number of the item.
ä
ã
QUIT
Press y
Press
to return to the Home screen.
to return to the screen where you
were.
Select another screen or menu.
$
2 Getting Started

First Steps

Before beginning these sample problems, follow the steps on this page to reset the TI.82 to its factory settings. (Resetting the TI.82 erases all previously entered data.) This ensures that following the keystrokes in this section produces the illustrated actions.
1. Press É to turn the calculator on.
2. Press and release y and then press Ã. (Pressing y accesses the operation printed in blue to the left above the next key that you press.
The
3. Press 3 to select
The
is the
MEM
MEMORY
RESET MEMORY
2nd
menu is displayed.
Reset...
operation of Ã.)
.
menu is displayed.
4. Press 2 to select
. The calculator is reset.
Reset
5. After a reset, the display contrast is also reset. If the screen is very dark or blank, you need to adjust the display contrast. Press y and then press and hold † (to make the display lighter) or } (to make the display darker). You can
press
to clear the display.
Getting Started 3

Entering a Calculation: Compound Interest

Using trial and error, determine when an amount invested at 6% annual compounded interest will double in value. The TI.82 displays up to 8 lines of 16 characters so you see an expression and its solution at the same time. You also can store values to variables, enter multiple instructions on one line, and recall previous entries.
1. Press
.06
¿
ƒ
Z (annual interest rate) to
store the interest rate.
ã
ä
2. Press y
:
to enter more than one instruction
on a line.
3. For the first guess, compute the amount available at the end of 10 years. Enter
ƒ
(years).
Y
ä
ã
:
4. Press y
, then enter the expression to
10
calculate the total amount available after years at Z interest just as you would write it. Use 1000 as the amount. Press
ƒ
Z
¤ ›
Y.
1000
¯ £ 1 Ã
The entire problem is shown in the first two lines of the display.
5. Press
Í
to evaluate the expression.
The answer is shown on the right side of the display. The cursor is positioned on the next line, ready for you to enter the next expression.
6. To save keystrokes, you can use
Last Entry
recall the last expression entered and then edit it for a new calculation. Press y, followed by
ä
ã
ENTRY
(above
Í
).
The last calculated expression is shown on the next line of the display.
¿
Y
ƒ
to
4 Getting Started
7. The next guess should be greater than 10
years. Make the next guess 12 years. Press to move the cursor over the to change 10 to 12. Press
, and then type
0
Í
to evaluate the
}
2
expression.
8. To display answers in a format more
appropriate for calculations involving money, press z to display the
MODE
screen.
9. Press † ~ ~ ~ to position the cursor over the
2 and then press
Í
. This changes the
display format to two fixed decimal places.
ä
ã
QUIT
10. Press y
(above z) to return to the
Home screen. The next guess should be less
ã
than, but close to, 12 years. Press y
ä
ã
y
1
. Press
INS
(above {)
Í
to evaluate the expression.
.9
to change 12 to
}
11.9
ENTRY
11. If the amount above is to be divided among
seven people, how much will each person get? To divide the last calculated amount by seven, press ¥
, followed by
7
As soon as you press ¥, the beginning of the new expression.
Í
Ans
.
à
is displayed at
is a
Ans
variable that contains the last calculated answer.
ä
Getting Started 5

Defining a Function: Box with Lid

v
Take a 200×250 mm. sheet of paper and cut X-by-X squares from two corners and X-by-125 mm. rectangles from the other two corners. Now fold the paper into a box with lid. What X would give the maximum volume V of a box made in this way? Use tables and graphs to determine the solution.
Begin by defining a function that describes the
olume of the box.
From the diagram: 2X + A = W
2X + 2B = L V = A B X
Substituting: V = (W – 2X) (L à 2 – X) X
1. Press z † to
Float
2. Press y
Í
to change the
MODE
back
.
ä
ã
Quit
to return to the Home
screen and clear it.
ä
ã
3. Press
ƒ
¿ ƒ
200
Í
L
W y
to store the width and length of
:
¿
250
the paper.
4. You define functions for tables and graphing on the
edit screen. Press o to access this
Y=
screen.
5. Enter the function for volume as
ƒ ¤ „ Í
. (
X
pressing
The
sign is highlighted to show that
=
„ ¤ £ ƒ
¹ 2
W
to define function
lets you enter X quickly, without
ƒ
.)
1
Y
L ¥ 2 ¹
Y
£
. Press
1
in terms of
1
is
Y
selected.
X
W
XABXB
L
6 Getting Started

Defining a Table of Values

The table feature of the TI.82 provides numeric information about a function. Use a table of values from the previously defined function to estimate an answer to the problem.
ä
ã
TblSet
1. Press y
TABLE SETUP
2. Press
Í
3. Press 10
@
Tbl=10
. Leave
Í
(above
menu.
to accept
to define the table increment
Indpnt: Auto
so the table will be generated automatically.
ä
ã
4. Press y
TABLE
table.
Note that the maximum value displayed is at
. The maximum occurs between 30 and 50.
X=40
5. Press and hold † to scroll the table until the sign change appears. Note that the maximum length of sign of
6. Press y
for this problem occurs where the
X
1
(volume) becomes negative.
Y
ä
ã
TblSet
. Note that to reflect the first line of the table you last displayed.
TblMin=0
(above
p
and
s
TblMin
) to display the
.
Depend: Auto
) to display the
has changed
Getting Started 7

Zooming In on the Table

You can adjust the way a table is displayed to get more detailed information about any defined function. By varying the value of @Tbl, you can “zoom in” on the table.
1. Adjust the table setup to get a more accurate estimate of the maximum size of the cutout. Press set
2. Press y
Í
.
ã
TABLE
to set
ä
.
30
@
Tbl
TblMin
. Press 1
3. Use † and } to scroll the table. Note that the maximum value displayed is occurs at
. The maximum occurs between
X=37
410256
36 and 38.
Í
, which
to
8 Getting Started
4. Press y Press
.1
5. Press y
TblSet
Í
ã
TABLE
. Press
to set
ä
and use † and } to scroll the
Í
36
@
Tbl
to set
.
ä
ã
table.
6. Press † and } to move the cursor. The maximum value of
1
at
36.8
is
410264
Y
TblMin
.
.
7. Press ~ to display the value of precision,
410264.064
. This would be the
1
at
Y
maximum volume of the box if you could cut your piece of paper at 1 mm. increments.
36.8
in full
Getting Started 9

Changing the Viewing WINDOW

The viewing WINDOW defines the portion of the coordinate plane that appears in the display. The values of the WINDOW variables determine the size of the viewing WINDOW. You can view and change these values.
1. Press
p
to display the
WINDOW
variables edit screen. You can view and edit the values of the
WINDOW
The standard viewing and
Ymax
and
Xscl
marks on the
variables here.
WINDOW
WINDOW
variables define the
as shown.
Xmin, Xmax, Ymin
define the boundaries of the display.
define the distance between tick
Yscl
and Y axis.
X
2. Press † to move the cursor onto the line to define
Xmin
. Press 0
Í
.
3. You can enter expressions to define values in the
WINDOW
4. Press
is stored in
100
as 10.
Xscl
5. Press 0 define the
editor. Press
Í
. The expression is evaluated, and
. Press 10
Xmax
Í
Y
WINDOW
500000
Í
variables.
200
100000
¥ 2.
Í
to set
Í
to
,
Ymax
Xmin
Xscl
Xmax
Yscl
Ymin
10 Getting Started

Displaying and Tracing the Graph

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 with TRACE.
1. Press
s
the viewing
The graph of
to graph the selected function in
WINDOW
Y1=(W–2X)(Là2–X)X
.
is shown in
the display.
2. Press ~ once to display the free-moving graph cursor just to the right of the center of the screen. The bottom line of the display shows the
and Y coordinate values for the position of the
X
graph cursor.
3. Use the cursor-keys (|, ~, }, and †) to position the free-moving cursor at the apparent maximum of the function.
As you move the cursor,
and Y coordinate
X
values are updated continually with the cursor position.
4. Press
r
. The
1
function near the middle of the screen. 1 in
Y
cursor appears on the
TRACE
the upper right corner of the display shows that the cursor is on trace along
1
. As you press | and ~, you
Y
1
, one X dot at a time, evaluating
Y
at each X.
Press | and ~ until you are on the maximum value. This is the maximum of
Y1(X)
for the
X
pixels. (There may be a maximum “in between” pixels.)
1
Y
Y
Getting Started 11

Zooming on the Graph

You can magnify the viewing WINDOW around a specific location using the ZOOM instructions to help identify maximums, minimums, roots, and intersections of functions.
1. Press
q
to display the
ZOOM
menu.
This menu is typical of TI.82 menus. To select an item, you may either press the number to the left of the item, or you may press † until the item number is highlighted and then press
Í
.
2. To zoom in, press 2. The graph is displayed again. The cursor has changed to indicate that you are using a
ZOOM
instruction.
3. Use |, }, ~, and † to position the cursor near the maximum value on the function and press
Í
.
The new viewing
WINDOW
been adjusted in both the factors of 4, the values for
4. Press
p
to display the new
is displayed. It has
and Y directions by
X
factors.
ZOOM
WINDOW
settings.
12 Getting Started

Finding the Calculated Maximum

You can use a CALC operation to calculate a local maximum of a function.
ä
ã
CALC
1. Press y menu. Press 4 to select
The graph is displayed again, with a prompt for
Lower Bound?
2. Use | to trace along the curve to a point to the left of the maximum and then press
A triangle at the top of the screen indicates the selected bound. A new prompt is displayed for
Upper Bound?
3. Use ~ to trace along the curve to a point to the right of the maximum and then press
A triangle at the top of the screen indicates the selected bound. A new prompt is displayed for
Guess?
4. Use | to trace to a point near the maximum and
Í
press bottom of the display.
Note how the values for the calculated maximum compared with the maximums found with the free-moving cursor, table.
to display the
maximum
CALCULATE
.
Í
Í
. The answer is displayed at the
, and the
TRACE
.
.
Getting Started 13

Other Features

Getting Started introduced you to basic calculator operation and the table and function graphing features of the TI.82. The remainder of this guidebook describes these features in more detail and also covers other capabilities of the TI.82.

Graphing

You can store, graph, and analyze up to ten functions (Chapter 3), up to six parametric functions (Chapter 4), and up to six polar functions (Chapter 5). You can use

Sequences

You can generate sequences and graph them over time or as web plots. (Chapter 6)

Tables

You can create function evaluation tables to analyze multiple functions simultaneously. (Chapter 7)

Matrices

You can enter and save up to five matrices and perform standard matrix operations on them. (Chapter 10)

Lists

You can enter and save up to six lists for use in statistical analysis. You also can use lists to evaluate expressions at multiple values simultaneously and to graph a family of curves. (Chapter 11)
operations to annotate graphs (Chapter 8).
DRAW

Statistics

You can perform one-variable and two-variable list-based statistical analysis, including median-median line and regression analysis, and plot the data as histograms, points,
lines, or box-and-whisker plots. You can
x-y
define and save three statistical plot definitions. (Chapters 12).

Programming

You can enter and save programs that include extensive control and input/output instructions. (Chapter 13)

Split Screen

You can show simultaneously the graph screen and a related editor, such as the
screen, table, list editor, or Home screen. (Chapter 9)
Y=
14 Getting Started

Chapter 1: Operating the TI-82

This chapter describes the TI.82 and provides general information about its operation.
Chapter Contents
Turning the TI.82 On and Off
Setting the Display Contrast The Display
................................
Entering Expressions and Instructions TI.82 Edit Keys Setting Modes TI.82 Modes Variable Names
..............................
...............................
................................
..............................
Storing and Recalling Variable Values
..................................
Last Entry Last Answer
TI.82 Menus
VARS
EOS
Error Conditions
.................................
................................
and
Y.VARS
é
Equation Operating System
(
Menus
.............................
......................
.....................
.............
..............
.......................
................
)
1-2
1-3 1 1 1 1
-
1
10
-
1
12
-
1
13 1-14 1-16
-
1
17 1-19 1-20
-
1
22
-
4
-
6
-
8
-
9
Operating the TI.82 1-1

Turning the TI-82 On and Off

To turn the TI.82 on, press the É key. To turn it off, press and release y and then press M. After about five minutes without any activity, APDé (Automatic Power Down™) turns the TI.82 off automatically.

Turning the Calculator On

Press É to turn the TI.82 on.
ä
¦
If you pressed y the Home screen as it was when you last used it, and errors are cleared.
¦
If APD turned the calculator off, the TI.82, including the display, cursor, and any error conditions, will be exactly as you left it.

Turning the Calculator Off

Press and release y and then press
¦
Any error condition is cleared.
¦
All settings and memory contents are retained by Constant Memoryé.

APD™ (Automatic Power Down™)

To prolong the life of the batteries, APD turns the TI.82 off automatically after several minutes without any activity. When you press É, the TI.82 will be exactly as you left it.
¦
The display, cursor, and any error conditions are exactly as you left them.
¦
All settings and memory contents are retained by Constant Memory.
ã
OFF
to turn the calculator off, the display shows
ä
ã
OFF
to turn the TI.82 off.

Batteries

The TI.82 uses four AAA alkaline batteries and has a user-replaceable back­up lithium battery. To replace batteries without losing any information stored in memory, follow the directions on page B.2.
1-2 Operating the TI.82

Setting the Display Contrast

The brightness and contrast of the display depends on room lighting, battery freshness, viewing angle, and adjustment of the display contrast. The contrast setting is retained in memory when the TI.82 is turned off.

Adjusting the Display Contrast

You can adjust the display contrast to suit your viewing angle and lighting conditions at any time. As you change the contrast setting, the display contrast changes, and a number in the upper right corner indicates the current contrast setting between 0 (lightest) and 9 (darkest).
Note that there are 32 different contrast levels, so each number 0 through 9 represents more than one setting.
To adjust the contrast:
1. Press and release the y key.
2. Use one of two keys:
¦
To increase the contrast, press and hold }.
¦
To decrease the contrast, press and hold †.
Note: If you adjust the contrast setting to zero, the display may become completely blank. If this happens, press and release y and then press and hold } until the display reappears.

When to Replace Batteries

When the batteries are low, the display begins to dim (especially during calculations), and you must adjust the contrast to a higher setting. If you find it necessary to set the contrast to a setting of 8 or 9, you should replace the four AAA batteries soon.
Note: The display contrast may appear very dark after you change batteries. Press and release y and then press and hold † to lighten the display.
Operating the TI.82 1-3

The Display

The TI.82 displays both text and graphics. Graphics are described in Chapter 3. The TI.82 also can display a split screen, showing graphics and text simultaneously (Chapter 9).

Home Screen

The Home screen is the primary screen of the TI.82, where you enter instructions to be executed and expressions to be evaluated and see the answers.

Displaying Entries and Answers

When text is displayed, the TI.82 screen can have up to eight lines of up to 16 characters per line. If all lines of the display are filled, text “scrolls” off the top of the display. If an expression on the Home screen, the (Chapter 3), or the program editor (Chapter 13) is longer than one line, it wraps to the beginning of the next line. On numeric editors such as the
WINDOW
screen (Chapter 3), an expression scrolls to the left and right.
When an entry is executed on the Home screen, the answer is displayed on the right side of the next line.
Entry Answer
Y=
editor
The
settings control the way expressions are interpreted and
MODE
answers are displayed (page 1.10).
If an answer, such as a list or matrix, is too long to display in its entirety, ellipsis marks (...) are shown at the left or right. Use ~ and | to scroll the answer and view all of it.

Returning to the Home Screen

Entry
Answer
To return to the Home screen from any other screen, press y
1-4 Operating the TI.82
ã
QUIT
ä
.

Display Cursors

In most cases, the appearance of the cursor indicates what will happen when you press the next key.
Cursor Appearance Meaning
Entry Solid blinking
rectangle
(insert) Blinking underline The next keystroke is inserted in front
INS
The next keystroke is entered at the cursor; it types over any character.
of the cursor location.
2nd ALPHA
Blinking # (arrow) The next keystroke is a
Blinking
A
The next keystroke is an alphabetic character.
“full” Checkerboard
rectangle
You have entered the maximum characters in a name, or memory is full.
operation.
2nd
If you press to an underlined
If you press y or (such as the
ƒ
or y during an insertion, the underline cursor changes
or # cursor.
A
ƒ
on a screen on which there is no edit cursor
screen or a graph), # or A appears in the upper right
MODE
corner.
Graphs and the screens for viewing and editing tables, matrices, and lists have different cursors, which are described in the appropriate chapter.

Busy Indicator

When the TI.82 is calculating or graphing, a moving vertical bar shows in the upper right of the display as a busy indicator. (When you pause a graph or a program, the busy indicator is a dotted bar.)
Operating the TI.82 1-5

Entering Expressions and Instructions

On the TI.82, you can enter expressions, which return a value, in most places where a value is required. You enter instructions, which initiate an action, on the Home screen or in the program editor (Chapter 13).

Expressions

An expression is a complete sequence of numbers, variables, functions, and their arguments that evaluate to a single answer. On the TI.82, you enter an
Í
4 5
p
. You
R
expression in the same order that it normally is written. For example, is an expression.
Expressions can be used on the Home screen to calculate an answer. In most places where a value is required, expressions may be used to enter a value.

Entering an Expression

To create an expression, enter numbers, variables, and functions from the keyboard and menus. An expression is completed when you press regardless of the cursor location. The entire expression is evaluated according to EOS rules (page 1.20), and the answer displayed.
Most TI.82 functions and operations are symbols with several characters in them. You must enter the symbol from the keyboard or menu, not spell it out. For example, to calculate the log of 45, you must press « cannot type in the letters entry as implied multiplication of the variables
L O G
. (If you type
, the TI.82 interprets the
LOG
, and G.)
L, O
2
,
Calculate 3.76 ÷ (-7.9 + ‡5) + 2 log 45.

Multiple Entries on a Line

1-6 Operating the TI.82
¥ £ Ì
3.76
¤ Ã 2 «
5
Í
To enter more than one expression or instruction on a line, separate them with a colon (
à y
7.9 45
). They are all stored together in
:
ä
ã
Last Entry
(page 1.14).
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