Watch help video-The function y f(x) is graphed below.What is the average rate of change of thefunction f(x) on the interval—7 < x < -3?100

Question

asked Sep 9, 2023 226k views

1 Answer

Jason Grant Taylor · Answer 1 · 2023-09-13T12:10:28+0000

The formula to calculate the average rate of change of a function f(x) over the interval:

$a\leq x\leq b$

is given to be:

From the provided question, we have:

$\begin{gathered} a=-7 \\ b=-3 \end{gathered}$

From the graph, we have:

$\begin{gathered} f(a)=-10 \\ f(b)=30 \end{gathered}$

Therefore, the average rate of change is:

$\begin{gathered} AROC=(30-(-10))/(-3-(-7))=(30+10)/(-3+7)=(40)/(4) \\ AROC=10 \end{gathered}$

Therefore, the average rate of change is 10.