Answer
See below.
Work Step by Step
Since, $A$ and $B$ corresponds to negative exponents whereas $C$ and $D$ corresponds to positive exponents.
As we look at the graph, we conclude the below points:
1. The point $(-1,2)$ lies on the graph $A$, thus $A$ corresponds to $2^{-x}$
2. The point $(-1,3)$ lies on the graph $B$, thus $B$ corresponds to $3^{-x}$
3. The point $(1,2)$ lies on the graph $C$, thus $C$ corresponds to $2^{x}$
4. The point $(1,3)$ lies on the graph $D$, thus $D$ corresponds to $3^{x}$