# Is #f(x)=x^2+sin x# an even or odd function?

##### 2 Answers

#### Answer:

It is neither.

#### Explanation:

A function

A function

For

If

If

If

# = x^2-sinx# which is neither#f(x)# nor#-f(x)#

We cannot show that

but we can show that is fails to be true for all

It is, I think, clear that these numbers are neither equal nor negatives of each other.

#### Answer:

Neither.

So

#### Explanation:

An even function requires

An odd function requires

Our example satisfies neither of these conditions.