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

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, $a=-6$ and $b = - 3$.

Step2: Read function values from graph

Suppose $f(-6)=y_1$ and $f(-3)=y_2$ read from the graph. Then the average rate of change is $\frac{f(-3)-f(-6)}{-3-(-6)}=\frac{y_2 - y_1}{3}$.

Answer:

(Need to read $y_1$ and $y_2$ from the graph to get a numerical value)