# Math Help - Find Average Rate of Change

1. ## 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

2. 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

$\frac {f(b) - f(a)}{b - a}$

3. ## Tell me more....

Are you saying to plug the values given into the function?

Thanks

4. ## Check this out

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

5. ## Got it Now...

I totally get it now. Thanks a million! It's easier than the textbook's explanation.