Well, Finals are coming up so I'm reviewing, and I'm already in need of some help!
This problem isn't hard, I just can't remember how to do it.
1) In exercise 1, find the average rate of change of the function over the given interval or intervals
f(x)=X^3+1
a. [2.3] b. [-1,1]
>>Answer = 19, 1
I'll be posting in here a lot throughout the day, so I'll be checking back often. As always, any help is greatly appreciated!
Gentlemen, you are thinking too hard (wow, i almost never get to say that, i'm always the one doing things the hard way. i feel so cool now , i almost never get to use that emoticon either). The average rate of change of a function on an interval, is the slope of the secant line on that interval, which is simply (if our interval is [a,b] and our function is f(x) of course), which ends up being the same as topsquark's answer...but without entering the realm of integrals. But i guess it's nice to see how it all works out in the end and we can use an integral to confirm our answer