Answer
C
Work Step by Step
We are given that $f(x)=2^{-x}$. In order to find out which graph matches this function, we can find the value of $f(1)$.
$f(1)=2^{-1}=\frac{1}{2^{1}}=\frac{1}{2}$
Therefore, $f(x)$ matches Graph C, as it is the only graph that contains the ordered pair $(1,\frac{1}{2})$.