00:01
For this problem, we need to find the average rate of change for the function.
00:07
First over the interval, 2 to 3, and then again over the interval, negative 1 to 1.
00:16
Starting with 2 to 3, you can think of the interval as 2 x values.
00:25
The average rate of change would be the slope of the line formed by those 2 x values, and they're corresponding y values.
00:45
The slope is equal to the changing 1 over the change in x.
00:52
In this case, the change in the function over the change in the interval.
00:59
In calculus, we write this as f of b minus f of a all over b minus a.
01:16
To evaluate this, we first need to solve for f of a, and then again for f of three.
01:43
In this case, b is 3.
01:46
So we find f of 3.
01:57
A is 2...