average rate of change: graphs & tables\nwhat is the average rate of change of f over the interval -3,9…

Answer:

$\frac{f(9)-f(- 3)}{9 - (-3)}$

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$.

Step2: Identify $a$ and $b$

Here, $a=-3$ and $b = 9$. So the average rate of change of $f$ over the interval $[-3,9]$ is $\frac{f(9)-f(-3)}{9-(-3)}=\frac{f(9)-f(-3)}{12}$. We would need to know the values of $f(9)$ and $f(-3)$ from the graph to get a numerical value.