00:01
So now we have the greatest integer function, the mt of x, and we have a two in front.
00:10
So first of all, we have all real numbers as our domain.
00:15
You can always plug into this unless there's a context for a problem.
00:19
We can always plug whatever we want in.
00:21
We are actually going to have a lot of x intercept.
00:24
So let's just draw the graph.
00:28
And remember what that two is going to do.
00:32
When we plug in numbers, if we think of having like a little table, if we plug in zero, we are at zero.
00:39
And let me just do a little bit of scaling here.
00:43
And these are all going to be going by ones and so on.
00:52
So this will be four, nine, four, negative four, and negative one, two, three, four, negative four, negative one, two, three, four.
01:00
And let's go in blue.
01:03
When we plug in zero, we get zero.
01:05
When you plug in numbers between 0 and 1, like 0 .5, we still get 0.
01:11
It rounds down to the nearest integer, and everything stays if i plug in 0 .9.
01:18
We're still at 0.
01:19
And there's an open dot here...