Q. 38 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

Step 1: Given information

Given the graph 

Step 2: 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 $C$.