Question

In Problems $85-88$, determine the exponential function whose graph is given.

Short answer

The exponential function obtained is$f\left(x\right)=5^x$.

Step-by-step solution

Step 1. Given information

Given graph of exponential function is

The graph passes through$(-1,\frac{1}{5}),(0,1),(1,5)$.

Step 2. Finding exponential function.

Assume that the graph follows the function $f\left(x\right)=a^x$

which gives

$$\begin{gathered} 5=a^1 \\ 5=a \end{gathered}$$

So the exponential function is$f\left(x\right)=5^x$.