Question

refer to the function f whose graph is as follows. find the average rate of change of f on the interval 2,3. question help: video ebook written example submit question

Explanation:

Step1: Recall the formula

The formula for the average rate of change of a function $y = f(x)$ on the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 2$ and $b=3$.

Step2: Find $f(2)$ and $f(3)$

From the graph, when $x = 2$, $f(2)=2$ and when $x = 3$, $f(3)=2$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{f(3)-f(2)}{3 - 2}=\frac{2 - 2}{1}=0$.

Answer:

$0$