SOLUTION: consider the function f(x)= -5x^3 -Determine the average rate of change (ARoC) of f over the following intervals of x. a. From x=2 to x=2.5, whats the average rate of change?

Algebra ->  Average -> SOLUTION: consider the function f(x)= -5x^3 -Determine the average rate of change (ARoC) of f over the following intervals of x. a. From x=2 to x=2.5, whats the average rate of change?      Log On


   

Question 1125762: consider the function f(x)= -5x^3
-Determine the average rate of change (ARoC) of f over the following intervals of x.
a. From x=2 to x=2.5, whats the average rate of change?
b. from x=2.5 to x=3, whats the average rate of change?
c. from x=3 to x=3.5, whats the average rate of change?
-Consider the three average rates of change you computed in part (a). Are these average rates of change increasing, decreasing, or some combination of both?
-Over the interval from x=2 to x=3.5, does f have positive concavity, negative concavity, or some combination of both?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Given a function , the average rate of change from to is equal to the slope of the line through and , which is calculated by:



Your parts a, b, and c are just three arithmetic problems. You can use a calculator just as well as I can.


John

My calculator said it, I believe it, that settles it