Question

Is the function `f(s) = 4s^(3/2)` even, odd or neither?

Answer 1

Neither.

Explanation:

As a Real valued function `f(s)` is only defined for `s >= 0`, so it's neither odd nor even.

As a Complex valued function we find:

If `s >= 0` then `f(s) >= 0`

If `s < 0` then:

`f(s) = 4 sqrt(s)^3 = 4(i sqrt(-s))^3 = -4i sqrt(-s) = -i f(-s)`

So neither `f(-s) = -f(s)` nor `f(-s) = f(s)`