Question

the graph of a function f is shown below. use the graph of the function to find its average rate of change from x = -7 to x = 1. simplify your answer as much as possible.

Explanation:

Step1: Find $f(-7)$ from graph

From the graph, when $x=-7$, $f(-7)=7$.

Step2: Find $f(1)$ from graph

From the graph, when $x=1$, $f(1)=7$.

Step3: Apply average rate formula

The average rate of change formula is $\frac{f(b)-f(a)}{b-a}$, where $a=-7$, $b=1$.
$\frac{f(1)-f(-7)}{1-(-7)}=\frac{7-7}{1+7}$

Step4: Simplify the expression

$\frac{0}{8}=0$

Answer:

$0$