00:01
I might not do a very good job of drawing this picture, but i will point out a few things like starting at zero.
00:09
The graph goes up and has a hole in it, but then it's defined a little bit below it.
00:15
And because they're asking for the values, i actually only care about the y values.
00:20
So let me be very particular that this is one, that y value is two, and then there's another piece that goes up to three.
00:29
And then i'm going to double check that we definitely go down to negative 1.
00:34
So let me try my best to keep drawing in here.
00:39
It goes up.
00:41
Let me make sure that y -equals 3 is defined.
00:44
And then we have a sharp turn right here going from 1 to 2, y -equals 1 up to y -equals 2.
00:55
I'm having a tough time seeing if that's a closed dot, but it looks like it's closed, and then it's open.
01:02
And crosses the x -axis and is open down here.
01:05
So as you go through your options, i'm 100 % convinced the absolute max in this problem.
01:11
And again, they want the max value is the highest point absolutely throughout the entire graph.
01:17
Sometimes we call them global, if you've heard that phrase before, is all the way up to three.
01:23
Now, the absolute min, let me double check how they want you to write this, is when an answer does not exist, you write d and e.
01:34
And the reason for that, because you might be sitting there and saying, what about negative one over here? well, it's not defined at negative one.
01:42
So what if you said like negative 0 .9? well, that's not the smallest because it could have been negative.
01:48
0 .99.
01:50
I can keep getting smaller values no matter what.
01:53
Now, please don't say negative .9 repeating.
01:56
That is incorrect as well...