00:02
We're going to grab this piecewise function.
00:05
And if you look at the top piece, f of x equals 1 minus x minus 1 quantity squared, that will be a piece of a parabola.
00:13
And if you look at the bottom piece, f of x equals square root x minus 2, that's going to be a piece of a square root curve.
00:20
So hopefully you have a picture in your mind for what each of those kinds of curves looks like.
00:25
And notice that one piece ends and the other piece begins at x equals 2.
00:29
So i'm going to start by substituting 2 into each piece.
00:33
So if we put 2 into the first piece, we have 1 minus the quantity 2 minus 1 squared, and we end up with 0.
00:42
That's going to be a closed circle, and that's going to be where we start.
00:47
Now we can allow x to be anything else that's less than 2.
00:50
So i'm going to choose to let x equal 1, substitute that in, and we end up with 1 for the y value.
00:56
So we're going to go through that point.
00:58
So we're starting at 2 0 with a closed circle and going through 1 -1.
01:05
Now remember this is going to be a parabola, so this is really not quite enough information to know how to draw the parabola...