Is the given function even, odd, or neither?

Question

please show work!

1. f(X) = 4 - X^2

2. f(x) = x(4-x^2)

3. f(x) = 4x - x^2

Answer 1

map them on calculator and see if they are symmetrical or not. If symmetrical they are even, if not it is odd.

This is not a full proof rule but will work for your questions.

Answer 2

sigh... heeeeere we go again...

Answer 3

Mathematically, we say that a function f(x) is even if f(x)=f(-x) and is odd if f(-x)=-f(x)

Just plug in -x and see what happens!