00:02
So we have a function f of x equals 3x squared plus 11x plus 10 over x squared minus 7x.
00:15
We want to know whether the function is continuous at a when a equals 7.
00:21
So let's just rewrite this function in factored form.
00:28
On top, i'm going to have 3x plus 5 and 3x.
00:34
I'm sorry, an x plus two.
00:41
You can see nothing is going to cancel.
00:47
So what that tells me is this graph is going to have vertical asymptotes at x equals zero and at x equals seven.
01:02
And if you look at the graph of this function, right, because it also has a, horizontal asymptope at three.
01:17
So i'm going to have this and then two, three, four, five, six, seven, this, and the y -axis will also be an asymptote.
01:31
And what you're going to see happening is you're going to have your graph kind of pressing this way...