Average rate of change of 2x - x^2 from 2 to x

[jillpil87]

How exactly would I go about doing these?:

1) Given f(x) = 2x - x^2, compute the average rate of change from 2 to x, for f(x).

2) Use the result from the previous problem to compute the average rate of change from x = 2 to x = 4.

:?

 

[daon]

Re: Average rate of change...I need help ASAP

How exactly would I go about doing these?:

Given f(x)=2x-x^2, compute the average rate of change from 2 to x, for f(x).


Use the result from the previous problem to compute the average rate of change from x=2 to x=4.

:?

Average rate of change from a to b := \(\displaystyle \frac{f(b)-f(a)}{b-a}\)

You have \(\displaystyle \frac{f(x)-f(2)}{x-2}=\frac{(2x-x^2)-0}{x-2}=\frac{x(2-x)}{x-2}=\frac{-x(x-2)}{x-2}=-x\)