00:01
We want to find the average rate of change of the function e to the x between negative 2 and 0.
00:09
So anytime you hear the word average rate of change, that's really just saying use the slope formula, because what we're doing is we're creating a secant line going between the two points on our graph, and then we're just finding the slope of that line.
00:25
In this case, we can call a negative 2, b, 0, and really it doesn't matter what order we do this in.
00:32
Because if we were to flip all the letters, it would be the same formula.
00:37
But let's just go ahead and label them like that.
00:39
And if we call f of x y, then f of negative 2 is going to give us e to the negative second.
00:45
And then f of zero is going to give us e to the zero, which is equal to 1.
00:51
So now let's go ahead and plug these values in...