   Chapter 9.2, Problem 3E ### 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 3-8, determine whether each function is continuous or discontinuous at the given x-value. Examine the three conditions in the definition of continuity. f ( x ) = x 2 − 4 x − 2 , x = − 2

To determine

Whether the function, f(x)=x24x2, is continuous or discontinuous at x=2.

Explanation

Given Information:

The provided function is f(x)=x24x2.

Explanation:

Consider the provided function,

f(x)=x24x2

A function, f, is continuous at x=c if f(c) exists, limxcf(x) exists and limxcf(x)=f(c).

The function is continuous at x=2 if all the three conditions are satisfied for x=2.

To check whether the value of f(2) exists, substitute 2 for x,

f(2)=(2)2422=444=04=0

Thus, the value of f(2) exists and is equal to 0

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