TI-83 GUIDEBOOK e.edu

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. IBM is a registered trademark of International Business Machines Corporation. Macintosh is a registered trademark of Apple Computer, Inc. Windows is a registered trademark of Microsoft Corporation. ? 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 ..........................................

2

TI-83 Menus .............................................

4

First Steps ...............................................

5

Entering a Calculation: The Quadratic Formula .......... 6

Converting to a Fraction: The Quadratic Formula ........ 7

Displaying Complex Results: The Quadratic Formula .... 8

Defining a Function: Box with Lid ....................... 9

Defining a Table of Values: Box with Lid ................. 10

Zooming In on the Table: Box with Lid................... 11

Setting the Viewing Window: Box with Lid ............... 12

Displaying and Tracing the Graph: Box with Lid ......... 13

Zooming In on the Graph: Box with Lid .................. 15

Finding the Calculated Maximum: Box with Lid.......... 16

Other TI-83 Features..................................... 17

Chapter 1: Operating the TI-83

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

Introduction iii

Chapter 2: Math, Angle, and Test Operations

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

Chapter 3: Function Graphing

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

Chapter 4: Parametric Graphing

Getting Started: Path of a Ball ........................... 4-2 Defining and Displaying Parametric Graphs.............. 4-4 Exploring Parametric Graphs ............................ 4-7

Chapter 5: Polar Graphing

Getting Started: Polar Rose .............................. 5-2 Defining and Displaying Polar Graphs ................... 5-3 Exploring Polar Graphs .................................. 5-6

iv Introduction

Chapter 6: Sequence Graphing

Chapter 7: Tables Chapter 8: DRAW Operations

Chapter 9: Split Screen

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

Getting Started: Roots of a Function ..................... 7-2 Setting Up the Table ..................................... 7-3 Defining the Dependent Variables........................ 7-4 Displaying the Table ..................................... 7-5

Getting Started: Drawing a Tangent Line ................. 8-2 Using the DRAW Menu................................... 8-3 Clearing Drawings ....................................... 8-4 Drawing Line Segments .................................. 8-5 Drawing Horizontal and Vertical Lines ................... 8-6 Drawing Tangent Lines .................................. 8-8 Drawing Functions and Inverses ......................... 8-9 Shading Areas on a Graph ............................... 8-10 Drawing Circles.......................................... 8-11 Placing Text on a Graph ................................. 8-12 Using Pen to Draw on a Graph ........................... 8-13 Drawing Points on a Graph .............................. 8-14 Drawing Pixels .......................................... 8-16 Storing Graph Pictures (Pic) ............................. 8-17 Recalling Graph Pictures (Pic) ........................... 8-18 Storing Graph Databases (GDB) ......................... 8-19 Recalling Graph Databases (GDB) ....................... 8-20

Getting Started: Exploring the Unit Circle................ 9-2 Using Split Screen ....................................... 9-3 Horiz (Horizontal) Split Screen ........................... 9-4 G-T (Graph-Table) Split Screen .......................... 9-5 TI.83 Pixels in Horiz and G-T Modes ..................... 9-6

Introduction v

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