00:01
Here, we're looking at an equation f of x, which is x to the 11 over 9 plus 40x plus 800, all divided by x minus 7 times x plus 7.
00:10
And we want to find out what's true.
00:12
So first off, does it have a horizontal asymptote at y equals 1? well, it's only going to have one horizontal asymptote most of the time.
00:18
Technically it could have 2, but it's unlikely.
00:21
And that's just going to basically be, if we look at the powers.
00:25
On the top, the highest power is 11 over 9.
00:28
On the bottom, we have a power of 2.
00:29
So 11 over 9 is less than 2, which means we have a horizontal asymptote of 0, not 1.
00:36
So, let's say, has a horizontal asymptote at 0.
00:40
Next, let's look at the vertical asymptote.
00:42
Well, we have a vertical asymptote anytime the denominator is 0.
00:45
So that's going to be at 5 or negative 7.
00:48
So that one is true...