Question

How do you determine if `f(x) = x^2 - x^8` is an even or odd function?

Answer 1

even

Explanation:

for an even function `f(-x) = f(x)`

for an odd function `f(-x) = - f(x)`

here: `f(-x) = (-x)^2 - (-x)^8 = x^2 - x^8 = f(x)`

So it is even.