the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the…

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ on the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-8$ and $b = - 7$.

Step2: Find $f(-8)$ and $f(-7)$ from the graph

From the graph, when $x=-8$, $f(-8)=-10$. When $x = - 7$, $f(-7)=0$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{f(-7)-f(-8)}{-7-(-8)}=\frac{0 - (-10)}{-7 + 8}=\frac{10}{1}=10$.

Answer:

$10$