Question

Is the function `y=x^5+7x^3` even or odd?

Answer 1

`y=x^5+7x^3` is an odd function.

Explanation:

A function is odd if `f(-x)=-f(x)` and is even if `f(-x)=f(x)`.

As function is `y=f(x)=x^5+7x^3`

and `f(-x)=(-x)^5+7(-x)^3=-x^5-7x^3=-f(x)`

Hence `y=x^5+7x^3` is an odd function.