Answer
See the picture below.
Work Step by Step
By calculating a few pairs, plotting each ordered pair, and connecting the dots on the graph with a smooth curve, we can graph the function.
A few pairs:
$f(-2)=2^{\mid{-2}\mid}=2^2=4$
$f(−1)=2^{\mid{-1}\mid}=2^1=2$
$f(0)=2^0=1$
$f(1)=2^{\mid{1}\mid}=2^1=2$
$f(2)=2^{\mid{2}\mid}=2^2=4$
As we can see, this function is symmetric with respect to the y-axis.