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

he function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-8\\leq x\\leq -7$?

he function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-8\\leq x\\leq -7$?

Answer

Explanation:

Step1: Find the values of (f(-8)) and (f(-7))

From the graph, when (x = - 8), (y=f(-8)=0); when (x=-7), (y = f(-7)=2).

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 = - 7), (f(a)=f(-8)=0), (f(b)=f(-7)=2). Substitute into the formula: (\frac{f(-7)-f(-8)}{-7-(-8)}=\frac{2 - 0}{-7 + 8}).

Answer:

(2)