Question

average rate of change from a graph
score: 0/5 penalty: 0.25 off
question
the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-6 \leq x \leq 4?$
answer attempt 2 out of 2

Explanation:

Step1: Identify f(-6) from graph

From the graph, when $x=-6$, $f(-6)=-8$

Step2: Identify f(4) from graph

From the graph, when $x=4$, $f(4)=-8$

Step3: Apply average rate formula

The formula for average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Substitute $a=-6$, $b=4$, $f(-6)=-8$, $f(4)=-8$.
$\text{Average rate of change} = \frac{f(4)-f(-6)}{4-(-6)} = \frac{-8 - (-8)}{4 + 6}$

Step4: Simplify the expression

$\frac{-8 + 8}{10} = \frac{0}{10} = 0$

Answer:

$0$