00:01
In this problem, i want to find the average rate of change between the interval of 4 and b.
00:09
And i don't know what b is.
00:10
So there's going to be some, like, there's not going to be a final answer for sure that is a constant value.
00:18
I'm going to start by finding out where the function's at when x is 4.
00:23
So g of 4 equals 2 times 4 squared minus 9.
00:31
And i'm going to type this into my calculator just the way that it looks on the paper and i get g of 4 is at 23.
00:41
That means i have a point at 423.
00:46
Now i want to do the same thing with b.
00:49
G of b is going to be 2b squared minus 9.
00:55
So here i'm going to have a point located at b, whatever that is, and 2 .2.
01:02
B squared minus 9.
01:05
Now to find the average between the two or the average rate of change between the two, we use the slope formula.
01:13
So y2, 2b squared minus 9 minus y1 minus 23 over x2 b minus x1, 4...