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 given by $\frac{f(b)-f(a)}{b - a}$. Here, $a=-1$ and $b = 0$.

Step2: Find $f(-1)$ and $f(0)$ from the graph

From the graph, when $x=-1$, $f(-1)=40$. When $x = 0$, $f(0)=20$.

Step3: Calculate the average rate of change

Substitute $a=-1$, $b = 0$, $f(-1)=40$ and $f(0)=20$ into the formula $\frac{f(b)-f(a)}{b - a}$. We get $\frac{f(0)-f(-1)}{0-(-1)}=\frac{20 - 40}{1}=-20$.

Answer:

$-20$