CPM Homework Help : CALC Problem 2-97

$f(x)$ is an even function such that $f(2) = 4$ and $f(10) = 20$ . Which of the following must be true? Could be true? Must be false?

$f(−10) = 20$

$f(−2) = −4$

$f(0) = 0$

Hint 1:

Even functions have reflective symmetry across the $y$ -axis.

Hint 2:

Definition of an even function: $f(a) = f(−a)$

Hint 3:

Must all even functions go through the origin?
Consider the even function: $f(x) = x^2 + 1$ .
Also consider the even function: $f(x)=\frac{1}{x^{2}}$