Question

the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-4 \leq x \leq -3$?

Explanation:

Step1: Recall average rate of change formula

The average rate of change of $f(x)$ on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$.

Step2: Identify $f(-4)$ and $f(-3)$

From the graph: $f(-4)=0$, $f(-3)=-80$.

Step3: Substitute values into formula

$\frac{f(-3)-f(-4)}{-3-(-4)}=\frac{-80-0}{-3+4}$

Step4: Calculate the result

$\frac{-80}{1}=-80$

Answer:

$-80$