Question

11 for the function graphed below, find the average rate of change on the interval -3,2 a -4 b -1 c 0 d 1 e 4

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, $a=-3$ and $b = 2$.

Step2: Estimate function values from graph

From the graph, when $x=-3$, $y = f(-3)=0$; when $x = 2$, $y=f(2)=0$.

Step3: Calculate average rate of change

Substitute into the formula: $\frac{f(2)-f(-3)}{2-(-3)}=\frac{0 - 0}{2 + 3}=0$.

Answer:

C. 0