Question

In Problems $33-40$, the graph of an exponential function is given. Match each graph to one of the following functions.

Short answer

The function is $y=-3^x$and matches to (c)

Step-by-step solution

Given information

Given the graph

Checking the graph and forming the function 

The graph has a horizontal asymptote of $y=0$, decreasing, and below the $x$-axis. This means it involves a reflection of $y=3^x$

The graph contains the points $(1,-3),(0,-1)$and $(-1,\frac{1}{3})$

Thus, the graph undergoes a reflection about the $x$-axis of the function $y=3^x$.

Therefore, the graph has the function$y=-3^x$so the answer is Option $C$.