00:02
So if you're asked to find the average rate of change of a function over an interval, like the function could be f of x equals x cubed plus one, then you're actually just asked to find the slope over that time interval.
00:17
So let's take, for instance, the interval two to three.
00:24
So if i want to find the average rate of change on that interval, then i just want to find the slope for that interval.
00:29
So i want to fill in f of b minus f of a.
00:34
Over b minus a.
00:38
That's just that typical slope formula, y2 minus y1, written in a function format.
00:44
So then it'd be f of 3 minus f of 2 over 3 minus 2.
00:51
F of 3, if i plugged it into my function, would be 28, f of 2 would be 9 over 3 minus 2...