Chapter 6.2, Problem 25E

To determine

To match the function with the graph.

Answer to Problem 25E

The correct match of the function with the graph is option $\text{B}$ .

Explanation of Solution

Given information:

Consider the given information,

  $y=4e^{-0.5x}$

CALCULATION:

The first point on the graph $\text{B}$ is $\left(0,4\right)$

  $\begin{array}{l}y=4e^{-0.5\times 0}=4\times e^0=4\times 1=4\\ \text{second point,}\left(-1,6.59\right),\\ y=4e^{\left(-1,6.59\right)}=4\times e^{0.5}=6.59\end{array}$

Therefore, the correct option for the function $y=4e^{-0.5x}$ option $\text{B}$