Answer
$\text{even, odd}$
Work Step by Step
RECALL:
(1) If $f(-x)=-f(x)$, then the function $f$ is odd and its graph is symmetric with respect to the origin.
(2) If $f(-x)=f(x)$, then the function $f$ is even and its graph is symmetric with respect to the $y$-axis.
Thus, the missing expressions in the given statement (in order) are: $\text{even}, \text{odd}$.
