   Chapter 1.1, Problem 76E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.76. f(x) = x |x|

To determine

Whether the function f(x)=x|x| is odd, even or neither; justify the answer with graph using the graphing calculator.

Explanation

Definition used:

If f(x)=f(x) , then the function f(x) is said to be an odd function.

If f(x)=f(x) , then the function f(x) is said to be an even function.

Given:

The function is, f(x)=x|x| .

Calculation:

Find the value of f(x) by substituting −x for x in f(x)

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