Question

Which answer describes the function f(x)=x^5+2x ?

odd

even

neither

Answer 1

A. Odd

Explanation:

Answer 2

Odd function

Explanation:

The given function is
`f(x)=x^5+2x`

We know that:

• The function is even if f(-x) = f(x)

• The function is odd if f(-x)=-f(x)
• If the function doesn't satisfy these two properties then it is neither odd nor even.

Hence, we substitute x = -x to find f(-x)

`f(-x)=(-x)^5+2(-x)\\=-x^5-2x\\=-(x^5+2x)\\=-f(-x)`

Since, f(-x)=-f(x). Hence, the function is odd.