Question

Verify algebraically if the function is odd, even, or neither. Need # 6 help

Answer 1

As given by the question

(6)

There are given that the function:

`h(x)=x^9+1`

Now,

For the even:

`h(-x)=h(x)`

So,

From the function

`\begin{gathered} h(x)=x^9+1 \\ h(-x)=(-x)^9+1 \\ =x^9+1 \\ h(-x)\\e h(x) \end{gathered}`

So, the given function is not even.

Then,

For odd:

`\begin{gathered} h(-x)=-h(x) \\ h(-x)=(-x)^9+1 \\ h(-x)=-(x)^9+1 \\ h(-x)\\e-h(x) \end{gathered}`

So, the given function is not odd.

Hence, the given function is neither odd nor even.