Question

consider the graph of f shown below. estimate the average rate of change from x = 4 to x = 7 question help: message instructor

Explanation:

Step1: Recall rate - of - change formula

$\text{Average rate of change}=\frac{f(x_2)-f(x_1)}{x_2 - x_1}$

Step2: Estimate function values

From graph, $f(4)\approx1$, $f(7)\approx3$, $x_1 = 4$, $x_2=7$.

Step3: Calculate average rate of change

$\frac{f(7)-f(4)}{7 - 4}=\frac{3 - 1}{3}=\frac{2}{3}$

Answer:

$\frac{2}{3}$