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 corrects match is, $\left(b\right)f\left(x\right)=2^{x+1}$

Step-by-step solution

Step 1 Given functions are,

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

The given graph is,

The objective is, we need to find the function which should matches with the given graph.

Step 2 From the graph it is clear that the graph is of an increasing function. 

So, the standard form of the function is, $f\left(x\right)=2^x$.

In the given graph it is observed that the graph is shifted horizontally left by $1$units. So, the function is, $f\left(x\right)=2^{x+1}$.

So, the correct option is,$\left(b\right)$.