Graphing Calculator Guide for Finite Mathematics

Graphing Calculator

Guide for Finite

Mathematics

Second Edition

Berresford and Rockett

Frank C. Wilson

Green River Community College

Contents

Chapter 1: Functions 1

Plot a function 1

Plot multiple functions simultaneously 2

Change the dimensions of the viewing rectangle 3

Determine points of intersection of two graphs 4

Determine intercepts graphically and numerically 5

Model data using linear regression 7

Model data using power regression 9

Chapter 2: Mathematics of Finance 11

Change table setup 12

Use STORE to assign a constant value to a variable 13

Use EQUATION SOLVER to solve an equation 14

Chapter 3: Matrices and Systems of Equations 17

Input a matrix 18

Find the inverse of a matrix 20

Store a matrix 21

Find the transpose of a matrix 22

Find the determinant of a matrix 23

Find the product of two matrices 24

Augment a matrix 26

Reduce a matrix to row echelon form 27

Reduce a matrix to reduced row echelon form 28

Chapter 4: Linear Programming 29

Graph an inequality 30

Clear a shaded region from the display 32

Graphically determine a linear programming problem solution 33

Chapter 5: Probability 35

Compute factorials 36

Compute permutations 37

Compute combinations 38

Determine a binomial distribution 39

Chapter 6: Statistics 41

Sort a list of numerical data 42

Calculate the mean, median, and standard deviation of a data list 43

Draw a box-and-whisker plot 44

Model data using a histogram 45

Calculate the cumulative values of the normal distribution 47

Shade the area under the normal distribution curve 49

Chapter 7: Markov Chains 51

Compute the product of a matrix and itself a finite number of times 52

Find the steady state distribution of a Markov chain transition matrix 54

Chapter L: Logic 55 THIS CHAPTER IS AVAILABLE ON THE CD/WEBSITES

Create truth tables to validate various laws of logic 56

Graphing Calculator Guide

Finite Mathematics

Introduction

This guide is designed to help you learn how to use your TI-83 graphing calculator to solve

the textbook problems in Finite Mathematics by Berresford and Rockett. In addition to

covering essential keystrokes, this guide will show you how to use your calculator to solve

problems using graphical, analytical, and numeric methods. Since each chapter builds upon

previous material, you are encouraged to work through the guide rather than use it only as a

keystroke reference guide.

The chapters in this guide correspond with the chapters in Finite Mathematics. The examples

in this guide are similar to the exercises in the text. You may find it helpful to review the

calculator guide examples before attempting the text exercises.

Copyright ? Houghton Mifflin Company. All rights reserved.

Chapter 1

Functions

In this chapter you will learn how to do the following:

1. Plot a function

2. Plot multiple functions simultaneously

3. Change the dimensions of the viewing rectangle

4. Determine intercepts graphically and numerically

5. Determine points of intersection of two graphs

6. Model data using linear regression

7. Model data using power regression

Plot a function

Keystrokes:

1. Press

Y=

.

2. Type the function to be plotted using the

3. Press

GRAPH

X,T,?,n

key for the variable.

.

Example:

Plot y = sin(x2).

Solution:

Y=

SIN

(

X,T,?,n

Copyright ? Houghton Mifflin Company. All rights reserved.

¡Ä

2

)

GRAPH

1

2

Chapter 1

Plot multiple functions simultaneously

Keystrokes:

1. Press

Y=

.

2. Type the function to be plotted using the

3. Press

ENTER

X,T,?,n

key for the variable.

.

4. Repeat steps (2) and (3) for subsequent functions.

5. Press

GRAPH

.

Example:

Plot y = 2x + 3, y = 3x + 3, y = -2x + 3 and y = -x + 3 simultaneously. What is the effect of the

coefficient of x on the graph?

Solution:

Y=

3

(¡ª)

(¡ª)

2

X,T,?,n

2

X,T,?,n

+

X,T,?,n

+

3

X,T,?,n

+

3

ENTER

ENTER

+

3

3

GRAPH

ENTER

The calculator will graph the lines in the order they were entered. Once the graphs are drawn

you can use the TRACE key and horizontal arrow keys to move your cursor along a graph.

To move between graphs, use the vertical arrow keys. The equation of the graph the cursor is

on is shown in the upper left-hand corner of these calculator display.

Lines with positive coefficients slope upward and lines with negative coefficients

slope downward. The greater the absolute value of the coefficient of x the steeper the line.

Copyright ? Houghton Mifflin Company. All rights reserved.

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