Thread: Creating Rational Functions out of asymptotes

Hi. I was wondering if anyone knew how to give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4? My book doesn't explain it very well and I can't find any tutorials on the internet. If you are able to, you could please give a small explanation of how you did it so that I can try to figure out how to do the rest of them?

Thank you so much.

What definitions of "vertical asymptote" and "horizontal asymptote" are you using?

Do you understand that there are an infinite number of possible examples- that there is single solution?

Originally Posted by DreadfulGlory

give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4?