   Chapter 9.2, Problem 20E ### 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. f ( x ) = { x 2 + 4 if  x ≠ 4 8 if  x = 3

To determine

Whether the function, f(x)={x2+4  if x48         if x=4, is continuous using a graphing calculator.

Explanation

Given Information:

The provided function is f(x)={x2+4  if x48         if x=4.

Explanation:

Consider the provided function,

f(x)={x2+4  if x48         if x=4

There are two different values of the function, f(x)=x2+4 for all x4 and f(x)=8 for all x=4.

The function is continuous at all values of x, only the point x=3 is the point which needs to be checked by using the ti-83 graphing calculator

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