the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the…
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?
Answer
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 given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 4$ and $b=7$.
Step2: Estimate function values from graph
From the graph, when $x = 4$, $f(4)\approx10$. When $x = 7$, $f(7)\approx10$.
Step3: Calculate average rate of change
Substitute into the formula: $\frac{f(7)-f(4)}{7 - 4}=\frac{10 - 10}{3}=0$.
Answer:
$0$