Question

How do you determine if `f(x)=5x` is an even or odd function?

Answer 1

`f(x)=5x` is an odd function.

Explanation:

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

a function is odd if `f(-x)=-f(x)`.

As, here `f(x)=5x`,

`f(-x)=5xx(-x)=-5x=-f(x)`

Hence `f(x)=5x` is an odd function.