the function ( y = f(x) ) is graphed below. what is the average rate of change of the function ( f(x) ) on…

Explanation:

Step1: Find the values of (f(-8)) and (f(-6))

From the graph, when (x = - 8), (y=f(-8)=-12); when (x=-6), (y = f(-6)=4)

Step2: Use the average - rate - of - change formula

The formula for 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=-8), (b = - 6), (f(a)=f(-8)=-12), (f(b)=f(-6)=4) [ \begin{align*} \frac{f(-6)-f(-8)}{-6-(-8)}&=\frac{4-(-12)}{-6 + 8}\ &=\frac{4 + 12}{2}\ &=\frac{16}{2} \end{align*} ]

Answer:

(8)