00:01
So with this information here, they want us to create the rational function.
00:07
So the first thing we can do is use the fact that they say there's no x intercepts.
00:13
So when we're looking at this, we're only going to have a constant in the numerator.
00:19
So just from that fact alone, we know it's just going to be some constant.
00:24
So there's a couple, just from what's listed, we can already throw out.
00:28
So the second option, third option, and the fourth option can all be three.
00:32
Thrown out and we're only going to need to choose between the first and the third.
00:40
Now, from the fact that we have these vertical asymptotes here at negative 2 and 4, well, we know vertical asymptotes go into the denominator.
00:53
So that means we have two of them.
00:55
So it would look like x minus b times x minus c.
01:00
I think that's the variables they used.
01:03
So this is what it's going to look.
01:05
Like in general before we even plug anything in.
01:09
And if we were to kind of just leave it like this, this part, the horizontal asymptote being at y is equal to zero, gets met as well because the degree in the denominator is larger than the degree in the numerator, which in this case, it's true.
01:22
Because in the numerator, it's degree zero, and the denominator it is degree two.
01:30
So now we can actually go about trying to figure out what do we need to plug in for these.
01:35
Well, first, b and c, are going to be these two values...