Thread: A horizontal asymptote I'm not seeing...

Alright, in the back of the book it says the horizontal asymptote is . I know that's true because when I went and graphed it, the lines were scared of that number.

Anyway, here is the equation:



makes is what I thought but there's a two.

No idea what to do here.

Wouldn't getting rid of the bottom make it:



Unless...







which makes the horizontal asymptote 2...

Never saw an example period of that though.

I don't understand how you're "getting rid of the bottom"...? This isn't an equation that you're solving, so you can multiply through by x or something; it's a functional statement containing a fraction.

To find the horizontal asymptote, restate the rational function as one combined fraction:



Then apply the asymptote rules they've given you.

picture the graph of this in your mind. you know it has two asymptotes x=0 and y=0.

is a vertical translation so move all points up. the Y axis is still an asymptote but the x axis has moved up 2.