Question

the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the interval 4 ≤ x ≤ 7?

Explanation:

Step1: Recall average - rate - of - change formula

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, $a = 4$ and $b=7$.

Step2: Find $f(4)$ and $f(7)$ from the graph

From the graph, when $x = 4$, $f(4)=10$. When $x = 7$, $f(7)=10$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{f(7)-f(4)}{7 - 4}=\frac{10 - 10}{3}=0$.

Answer:

$0$