Q. 88 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

The exponential function is $f\left(x\right)=-e^x$.

Step 1. Given information.

Given graph is

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

Step 2. Finding exponential function.

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

which gives

$$\begin{gathered} -e=a^1 \\ a=-e \end{gathered}$$

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