Q. 39 - 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 $y=3^x-1$ and matches to (e)

Step 1: Given information

Given graph 

Step 2: Checking the graph and forming the function

$(1,2),(0,0)$The  graph is increasing and has a horizontal asymptote of $y=-1$

The graph contains the points , and $(-1,\frac{-2}{3})$

This means that the graph has  a one-unit shift downward of the function $y=3^x$

Thus, the graph must be that of $y=3^x-1$ so the answer is Option $E$