# Whether the given functionis even, odd, or neither. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.1, Problem 70E
To determine

## To find: Whether the given functionis even, odd, or neither.

Expert Solution

The given function is an odd function.

### Explanation of Solution

Given information:

The given function is,

f(x)=x|x|

Concept used:

The function is said to be odd function if it satisfies f(x)=f(x) for all values of x and the function is said to be even function if it satisfies f(x)=f(x) for all values of x .

The given function is,

f(x)=x|x|

Calculate the value of f(x) as,

f(x)=(x)|x|f(x)=[x|x|]f(x)=f(x)

The given function satisfies the condition of an odd function. Hence, the given function is an odd function.

Consider the graph of the given function as follows, ### Have a homework question?

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