# To state : whether the function f ( x ) = 3 x 3 + 2 x 2 + 1 is even, odd or neither. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.5, Problem 80E
To determine

## To state : whether the function f(x)=3x3+2x2+1 is even, odd or neither.

Expert Solution

The function f(x)=3x3+2x2+1 is neither.

### Explanation of Solution

Given information :

The function is f(x)=3x3+2x2+1

The function f is even if f(x)=f(x) for all x in the domain of f .

The function f is odd if f(x)=f(x) for all x in the domain of f .

f(x)=3x3+2x2+1f(x)=3(x)3+2(x)2+1f(x)=3x3+2x2+1f(x)f(x) and f(x)f(x)

since, f(x)f(x) and f(x)f(x) we conclude that f(x)=3x3+2x2+1 neither even nor odd function.

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