Question

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

Answer 1

Function is even

Explanation:

For an even function, `f(x) = f(-x)`. You can think of it as reflective symmetry about the y axis.

For an odd function, `f(x) = - f(-x)`. You can think of symmetry via a 180 rotation about the Origin.

Here: `f(-x) = 2 (-x)^2 - 2 = 2 x^2 - 2 = f(x)`.

So this function is even.