12. what is the average rate of change of f(x) from x = -2 to x = 0?\n\nx -3 -2 -1 0\nf(x) 11 7 5 4\n\nm…

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-2$, $b = 0$, $f(a)=f(-2)=7$, and $f(b)=f(0)=4$.

Step2: Substitute values into formula

$\frac{f(0)-f(-2)}{0-(-2)}=\frac{4 - 7}{0 + 2}=\frac{-3}{2}=-1.5$

Answer:

P. -1.5