CPM Homework Help : APCALC Problem 2-97

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

$f\left(-10\right)=20$

$f(-2) = -4$

$f(0) = 0$

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: $f(x)=x^2+1$ .

$\text{Also consider the even function: }f(x)=\frac{1}{x^{2}}$