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(-6)) and (f(-2))

From the graph, when (x = -6), (y=f(-6)=-50); when (x=-2), (y = f(-2)=-10).

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=-6), (b = -2), (f(a)=-50), (f(b)=-10). [ \begin{align*} \frac{f(-2)-f(-6)}{-2-(-6)}&=\frac{-10-(-50)}{-2 + 6}\ &=\frac{-10 + 50}{4}\ &=\frac{40}{4} \end{align*} ]

Answer:

(10)