Question

If f(x)=3x−6x−2, what is the average rate of change of f(x) over the interval [6, 8]?

Answer 1

Hello there.

If f(x)=3x−6x−2, what is the average rate of change of f(x) over the interval [6, 8]?

3 to 0 is 1

Answer 2

That is, the average rate of change of from 3 to 0 is 1. That is, over the interval [0,3], for every 1 unit change in x, there is a 1 unit change in the value of the function. Here is a graph of the function, the two points used, and the line connecting those two points.

The formula is as follows:

A(x) = (f(x) - f(a)) / x - a

I hope my answer has come to your help. God bless and have a nice day ahead!