00:02
So we are given that equation and let's get rid of that one.
00:07
We're given this equation and let's see.
00:11
And we have to find the asymptotes, the holes, and we have to verify with a graph.
00:15
So i did the graph, well, we won't do it that way then.
00:19
Let's find the asymptotes.
00:21
Now the vertical asymptote is setting the denominator equal to zero.
00:25
So we're going to have 2x minus x squared equals zero.
00:29
And then i'll have, let's move everything over.
00:34
So i have x squared minus 2x equals 0.
00:37
I moved it all over to that side.
00:39
That gives me x times x minus 2 equals 0.
00:42
So i have two vertical asymptotes.
00:45
One is x equals 0 and one is x equals 2.
00:49
Now our horizontal asymptote, we have to look at top heavy or bottom heavy.
00:54
And this has negative 1x squared and this has a positive x squared when i do that.
00:58
So i have positive x squared over negative x squared and that is going to be the coefficients on top of each other.
01:05
So y equals negative one...