Question

question the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the interval -6 ≤ x ≤ -3?

Explanation:

Step1: Recall average rate of change formula

$\text{Average rate of change}=\frac{f(x_2)-f(x_1)}{x_2 - x_1}$, here $x_1=-6$, $x_2 = - 3$.

Step2: Read function - values from graph

Suppose $f(-6)=a$, $f(-3)=b$. Then calculate $\frac{b - a}{-3-(-6)}=\frac{b - a}{3}$.

Answer:

$\frac{f(-3)-f(-6)}{3}$ (values of $f(-6)$ and $f(-3)$ need to be read from the graph precisely)