Question

How do you determine if `y = –6x^3 – 4` is an even or odd function?

Answer 1

`f(x) = -6x^3-4` is neither even nor odd.

Explanation:

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

If `f(x) = -6x^3-4` then we have

`f(-x) = -6(-x)^3-4 = 6x^3-4`.

As `-f(x) = -(-6x^3-4) = 6x^3+4`, that means

`f(-x)!=f(x)` and `f(-x)!=-f(x)`

Thus `f(x) = -6x^3-4` is neither even nor odd.