00:01
This problem says the graph of a function is given, and we want to use the graph to estimate the following, and we're asked to find a local maximum, two local minimums, and then the increasing and decreasing intervals.
00:10
So for local maximum, local minimums, those are the highest or lowest points in comparison to the points around them.
00:16
So if we're looking for a local maximum, what we would use is the point zero four, because that point is highest in comparison to the points around it.
00:23
It's not necessarily the highest point because you can see this graph is going to reach forever, never up on the right, as well as to the left.
00:29
But it is the maximum point in comparison to everything around it.
00:33
And we'll use the same logic for our local minimums.
00:35
We have a local minimum at negative 3, negative 2, and 2 -1, because again, those points are the lowest in comparison to points around them.
00:43
And the smaller x value would be our negative 3 -2, with our larger x value for a local minimum coming from 2 -1...