   Chapter 9.2, Problem 17E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 17-20, use a graphing calculator to investigate whether each of the following functions has any discontinuities. y = x 2 − 5 x − 6 x + 1

To determine

Whether the function y=x25x6x+1 is continuous or not by use of a graphing calculator.

Explanation

Given Information:

The provided function is, y=x25x6x+1.

Explanation:

Consider the provided function,

y=x25x6x+1

The function is a rational function, that is of form f(x)g(x), where x25x6 and g(x)=x+1.

A rational function is continuous everywhere except the values of x where g(c)=0. Check by equating the function to zero.

x+1=0

Subtract 1 from both sides,

x+11=01x=1

To check whether the function is continuous, use the TABLE feature for the provided function using the ti-83 graphing calculator.

Step 1: Open the ti-83 graphing calculator.

Step 2: Press the [Y=] key and enter the function as, Y1=x25x6x+1

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