Question

question
the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-6 \leq x \leq -2$?

Explanation:

Step1: Identify f(-6) and f(-2)

From the graph: $f(-6) = 0$, $f(-2) = 8$

Step2: Apply average rate formula

The formula for average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Here $a=-6$, $b=-2$.
$\text{Average rate of change} = \frac{f(-2)-f(-6)}{-2 - (-6)} = \frac{8 - 0}{-2 + 6}$

Step3: Calculate the result

$\frac{8}{4} = 2$

Answer:

2