module 1 quiz\nscore: 24/170 answered: 5/34\nquestion 6\nuse the graph of f(x) to evaluate the…

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 1$ and $b = 5$.

Step2: Find $f(1)$ and $f(5)$ from the graph

From the graph, when $x = 1$, $f(1)=0$; when $x = 5$, $f(5)=0$.

Step3: Calculate the average rate of change

Substitute $f(1)=0$, $f(5)=0$, $a = 1$, and $b = 5$ into the formula $\frac{f(b)-f(a)}{b - a}$. We get $\frac{f(5)-f(1)}{5 - 1}=\frac{0 - 0}{4}=0$.

Answer:

$0$