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:
$f(-2)=2^{-\mid{-2}\mid}=2^{-2}=\frac{1}{4}$
$f(−1)=2^{-\mid{-1}\mid}=2^{-1}=\frac{1}{2}$
$f(0)=2^{-\mid 0\mid}=1$
$f(1)=2^{-\mid{1}\mid}=2^{-1}=\frac{1}{2}$
$f(2)=2^{-\mid{2}\mid}=2^{-2}=\frac{1}{4}$
As we can see, this function is symmetric with respect to the y-axis.
