Question

Is the function `f(x)=x^4+3x^-4+2x^-1` even, odd or neither?

Answer 1

This function is neither even nor odd.

Explanation:

To find if a function is even or odd or neither we have to calculete `f(-x)` and see how it compares to `f(x)`

In this case we have:
`f(-x)=(-x)^4+3(-x)^-4+2(-x)^(-1)`

`f(-x)=x^4+3x^(-4)-2x^(-1)`

So we see that `f(-x)!=f(x)` and `f(-x)!=-f(x)`, so `f(x)` is neither even nor odd.