Question

Is the function `f(x) = x^5 - 16x` even, odd or neither?

Answer 1

It is ODD.

Explanation:

You have that:
ODD function if `f(-x)=-f(x)`
EVEN function if `f(-x)=f(x)`
Let us try with `x=-1` and `x=1`
`f(-1)=(-1)^5-16(-1)=-1+16=15`
`f(1)=(1)^5-16(1)=1-16=-15`
So `f(-1)=-f(1)` then ODD.