Question

the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-8 \leq x \leq -3$?
answer attempt 1 out of 2

Explanation:

Step1: Identify $f(-8)$ and $f(-3)$

From the graph: $f(-8)=0$, $f(-3)=-8$

Step2: Apply average rate formula

The average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Substitute $a=-8$, $b=-3$:
$\frac{f(-3)-f(-8)}{-3-(-8)}=\frac{-8-0}{-3+8}$

Step3: Calculate the result

$\frac{-8}{5}=-1.6$

Answer:

$-1.6$ or $\boldsymbol{-\frac{8}{5}}$