Question

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

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 $f(2)$ and $f(3)$ from graph

From the graph, $f(2)=20$ and $f(3)=80$

Step3: Substitute values into formula

$\frac{f(3)-f(2)}{3-2} = \frac{80-20}{3-2}$

Step4: Calculate the result

$\frac{60}{1}=60$

Answer:

60