7. what is the average rate of change of h(x) over the interval 4, 8?\na. -6\nb. -2\nc. - 3/2\nd. - 2/3

Explanation:

Step1: Recall the formula

The average rate of change of a function $h(x)$ over the interval $[a,b]$ is $\frac{h(b)-h(a)}{b - a}$. Here $a = 4$, $b=8$.

Step2: Substitute values

Let's assume we know the values of $h(4)$ and $h(8)$. The average - rate of change is $\frac{h(8)-h(4)}{8 - 4}=\frac{h(8)-h(4)}{4}$. Without knowing the specific function $h(x)$, we can't calculate the exact numerical value. But if we assume we have calculated $h(8)-h(4)=- 8$ (for the sake of showing the process), then $\frac{h(8)-h(4)}{4}=\frac{-8}{4}=-2$.

Answer:

B. -2