# Find Average Rate of Change

• Jul 17th 2008, 04:42 PM
magentarita
Find Average Rate of Change
Find the average rate of change of the function f(x) = (-x^3) + 1:

(a) From 0 to 2

(b) 1 to 3
• Jul 17th 2008, 04:47 PM
Jhevon
Quote:

Originally Posted by magentarita
Find the average rate of change of the function f(x) = (-x^3) + 1:

(a) From 0 to 2

(b) 1 to 3

the average rate of change for a function $f(x)$ between $x = a$ and $x = b$, for $a < b$ is given by

$\frac {f(b) - f(a)}{b - a}$
• Jul 18th 2008, 03:28 AM
magentarita
Tell me more....
Are you saying to plug the values given into the function?

Can you further explain your first reply?

Thanks
• Jul 18th 2008, 04:06 AM
nikhil
Check this out
Quote:

Originally Posted by magentarita
Find the average rate of change of the function f(x) = (-x^3) + 1:

(a) From 0 to 2

(b) 1 to 3

let me do (a)
f(x) = (-x^3) + 1
f(0)=(0)^3+1=1
f(2)=(-2)^3+1=-7
so average rate of change will be
(f(2)-f(0))/2-0
-8/2=-4
• Jul 18th 2008, 05:29 AM
magentarita
Got it Now...
I totally get it now. Thanks a million! It's easier than the textbook's explanation.