00:01
Okay, so we're going to be figuring out where the graph that we're looking at is increasing, decreasing, and constant.
00:06
I'm not going to draw the graph here, so if you want to look at it, you want to be looking at the textbook.
00:12
So let's get started.
00:14
The intervals in which our function is increasing is wherever we have this upward slope, so kind of like a steep, or it doesn't have to be that steep, but it needs to be an upward slope instead of a downward slope.
00:25
As well as the more formal definition would be if a is less than b, then f of a has to be less than f of b.
00:34
So we can see that that's the case from negative infinity up until negative 8, where we have this local maximum.
00:42
So we can say that one interval would be from negative infinity to negative 8.
00:47
And then we also, this occurs again on the interval from negative 3 to negative 2.
00:55
So we can see we have that upward slope again where our y values are increasing as we go further to the right or in the positive x direction.
01:03
So the other place where this is happening is from negative 3 to negative 2.
01:11
And those are the only two intervals in which our function is increasing...