00:01
This problem says the graph of a function f is given, and we're supposed to use the graph to estimate the following, and we are supposed to find two local max values and two local min values, as well as their location, and then the increasing -decreasing intervals for the function.
00:13
So we first need to realize that our scale for the y values is going by two, which gives us these points for our locations for maximum and minimums, and the way we determine what our local max and local mins are is by looking at the highest or lowest points in comparison to the points around them.
00:28
So if we're looking for local max values, those would be points that are the highest points in comparison to the points that are immediately around them, and we have two local max values at 0 ,0 and at 5 ,4.
00:42
When we look for the minimum values, we're looking for the opposite behavior, where it's the lowest point in the comparison of the points around them.
00:48
So we have a minimum here and here, so our smaller x value would be negative 3 to give us the minimum of negative 12, and then 2, negative 8 for our other min value...