00:01
So in this problem, you're being asked to write a rational function in general form that satisfies the following conditions.
00:07
So the first thing i always look at is our vertical asymptopes.
00:10
Remember, you're going to have vertical asymptopes when your denominator is equal to zero.
00:15
So i'm going to call our function f of x.
00:17
Now, in our denominator, we're going to have 2 and negative 3 would be 0.
00:21
Well, if 2 is going to cause it to be 0, then x minus 2 will be a factor.
00:26
And if negative 3 will cause a denominator to be 0, then we know that x plus 3 will be a factor.
00:30
Factor.
00:31
So now we've taken care of our vertical lancetopes.
00:35
I'm going to skip over the horizontal asymptote for now and go to my x intercept.
00:39
The x intercept occurs when our numerator is equal to zero...