Question

In the following exercises, match the graphs to one of the following functions:

$ⓐ2^xⓑ2^{x+1}ⓒ2^{x-1}ⓓ2^x+2ⓔ2^x-2ⓕ3^x$

Short answer

The correct match is$\left(f\right)3^x$

Step-by-step solution

Step 1. Given

The graph is

Step 2. Find the function which matches the graph

From the graph it is very clear that the graph is of an increasing exponential function, so standard form of function is

$f\left(x\right)=a^x(a>1)$

From the graph, it is very clear that $\left(1,3\right)$lies on the graph.

$$\begin{gathered} f\left(x\right)=a^x \\ 3=a^1 \\ 3=a \end{gathered}$$

So, the function is $f\left(x\right)=3^x$

Therefore, the correct match is$\left(f\right)3^x$