Texas Instruments TI-83 - User Manual

TI-83 Graphing Calculator Manual to Accompany
Precalculus Graphing and Data Analysis
How to Use This Manual
This manual is meant to provide users of the text with the keystrokes necessary to
obtain the output provided by the TI-83 graphing calculator as that obtained in the text.
This manual by no means covers all of the features of this calculator.
In addition, once a particular feature is introduced, it will not be discussed again.
For example, graphing is introduced in Section 1.2, therefore, when graphing is again
required in Section 6.4, the keystrokes required are not reviewed and are assumed to be
known.
Introduction to the TI-83
Before learning how to use the TI83 as a graphing calculator, an introduction to
the TI83 as a scientific calculator may be worthwhile. In this introduction, basic
calculator skills will be discussed.
Turning the Calculator On and Off
The ON button is located in the
lower left hand corner of the keyboard. To
turn the calculator off, press the 2
nd
button
and then the ON button. Notice that all 2
nd
functions are in yellow on the keyboard.
An Introduction to the TI83 Keyboard
If you look at the bottom portion of the TI83, you should recognize that it looks
similar to a standard scientific calculator. This portion of the calculator is enclosed in the
box shown on the calculator above.
ON button
2
nd
Function

Texas Instruments TI-83 Specifications

General

Programming	TI-BASIC
Processor	Zilog Z80, 6 MHz
Weight	7.4 oz (210 g)
Display	96x64 pixels, monochrome LCD
Power Source	4 AAA batteries, 1 CR1616 or CR1620 for backup
Memory	32 KB RAM
Connectivity	2.5mm I/O port for linking with other TI calculators

Summary

How to Use This Manual

Introduction to the TI-83

Basic calculator skills introduction for TI-83 users.

Turning the Calculator On and Off

Instructions for powering the TI-83 calculator on and off.

An Introduction to the TI83 Keyboard

Overview of the TI-83 calculator's keyboard layout and functions.

Exponents

Caret (^)

Explains the caret key for general exponentiation on TI-83.

Negative Button

Demonstrates using the negative button for reciprocals on TI-83.

Radicals

Exponentials and Logarithms

Trigonometric Functions

MODE

Setting calculator mode for degrees or radians for trig functions.

Other Features

1.2 Graphs of Equations

Example 3 Graphing an Equation on a Graphing Utility

Step-by-step guide to graphing an equation using the TI-83.

Using the Table Feature

TABLESET

Configuring table settings like start value and step on the TI-83.

Example 8 Using a Graphing Utility to Find Intercepts

Example 2 Using INTERSECT to Approximate Solutions of an Equation

Example 9 Solving an Inequality Involving Absolute Value

1.6 Lines

Square Screens

Adjusting the TI-83 viewing window for a square aspect ratio.

1.7 Scatter Diagrams; Linear Curve Fitting

Example 1 Drawing a Scatter Diagram

Step-by-step guide to drawing a scatter diagram using the TI-83.

Example 4 Finding the Line of Best Fit

2.2 Characteristics of Functions

Example 5 Using a Graphing Utility to Locate Local Maxima and Minima and to Determine Where a Function is Increasing and Decreasing

Finding extrema and monotonic intervals of functions on the TI-83.

2.3 Library of Functions; Piecewise-defined Functions

Example 1 Analyzing a Piecewise-defined Function

Analyzing a specific piecewise function using the TI-83.

2.5 Operations on Functions; Composite Functions

Example 2 Evaluating a Composite Function

Calculating composite function values using the TI-83.

3.1 Quadratic Functions; Curve Fitting

Example 11 Fitting a Quadratic Function to Data

Step-by-step guide for quadratic curve fitting on the TI-83.

3.2 Power Functions; Curve Fitting

Example 3 Fitting Data to a Power Function

Guide to fitting power functions to data using the TI-83.

3.3 Polynomial Functions; Curve Fitting

Example 7 A Cubic Function of Best Fit

Fitting a cubic function to data using the TI-83.

4.2 Complex Numbers; Quadratic Equations with a Negative Discriminant

Example 1 Adding and Subtracting Complex Numbers

Adding and subtracting complex numbers on the TI-83.

5.2 Exponential Functions

Example 1 Using a Calculator to Evaluate Powers of 2

Evaluating powers like 2^1.4 using the TI-83.

5.8 Exponential, Logarithmic, and Logistic Curve Fitting

Example 1 Fitting a Curve to an Exponential Model

Fitting an exponential model to data using the TI-83.

Example 2 Fitting a Curve to a Logarithmic Model

Example 3 Fitting a Curve to a Logistic Growth Model

6.1 Angles and Their Measure

Example 2 Converting Between Degrees, Minutes, Seconds and Decimal Forms

Practical conversion of angle measurements on the TI-83.

6.2 Trigonometric Functions: Unit Circle Approach

Example 9 Using a Calculator to Approximate the Value of Trigonometric Functions

Calculating approximate values for cos, tan, etc., on the TI-83.

6.6 Sinusoidal Graphs; Sinusoidal Curve Fitting

Example 10 Finding the Sine Function of Best Fit

Step-by-step guide for sinusoidal regression on the TI-83.

7.5 The Inverse Trigonometric Functions (I)

Example 3 Finding an Approximate Value of an Inverse Sine Function

Calculating arcsin values on the TI-83.

9.1 Polar Coordinates

Example 5 Converting from Polar Coordinates to Rectangular Coordinates

Converting polar points (r, θ) to rectangular (x, y) on TI-83.

Example 6 Converting from Rectangular Coordinates to Polar Coordinates

Converting rectangular points (x, y) to polar (r, θ) on TI-83.

9.2 Polar Equations and Graphs

Example 4 Graphing a Polar Equation Using a Graphing Utility

Step-by-step guide to graphing polar equations on the TI-83.

10.7 Plane Curves and Parametric Equations

Example 2 Graphing a Curve Defined by Parametric Equations Using a Graphing Utility

Guide to graphing parametric curves on the TI-83.

11.3 Systems of Linear Equations: Matrices

Example 6 Solving a System of Linear Equations Using Matrices

Detailed steps for solving linear systems via matrices on the TI-83.

11.4 Systems of Linear Equations: Determinants

Example 2 Using a Graphing Utility to Evaluate a 2 by 2 Determinant

Calculating the determinant of a 2x2 matrix using the TI-83.

Example 3 Solving a System of Linear Equations Using Determinants

Applying determinants and Cramer's rule to solve linear systems on TI-83.

11.5 Matrix Algebra

Example 3 Adding and Subtracting Matrices

Step-by-step guide for adding and subtracting matrices on the TI-83.

Example 13 Finding the Inverse of a Matrix

Example 15 Using the Inverse Matrix to Solve a System of Linear Equations

Section 11.8 Systems of Linear Inequalities; Linear Programming

Example 2 Graphing a Linear Inequality Using a Graphing Utility

Step-by-step guide to graph linear inequalities on the TI-83.

12.1 Sequences

Example 2 Using a Graphing Utility to Write the First Several Terms of a Sequence

Generating sequence terms and graphing them on the TI-83.

Example 7 Using a Graphing Utility to Write the Terms of a Recursively Defined Sequence

Example 12 Using a Graphing Utility to Find the Sum of a Sequence

12.5 The Binomial Theorem

Example 1 Evaluating

Calculating binomial coefficients like C(65, 15) on the TI-83.

13.2 Permutations and Combinations

Example 5 Computing Permutations

Calculating permutations, P(n, k), on the TI-83.

Example 8 Using Formula (2)

13.3 Obtaining Probabilities from Data

14.4 The Tangent Problem; The Derivative

EXAMPLE 3 Finding the Derivative of a Function

Step-by-step guide to finding f'(x) numerically on the TI-83.

14.5 The Area Problem; the Integral

EXAMPLE 3 Using a Graphing Utility to Approximate an Integral

Calculating definite integrals to find area under a curve on TI-83.

Appendix Section 1

EXAMPLE 9 Evaluating an Algebraic Expression

Evaluating algebraic expressions with stored variables on the TI-83.