I understand how to calculate horizontal and vertical asymptotes, both by using the trick of comparing the degrees of the numerator/denominator and by using calculus. What I would like to know is this: is there a quick way to determine whether or not a rational function (perhaps with just polynomials, perhaps with absolute values or nth roots) has just one horizontal asymptote or two? (And yes, I also know how to determine if a rational function has no asymptotes or one asymptote; I simply am curious whether or not there are certain kinds of functions that always have likely to have two horizontal asymptotes). Thanks in advance for your help!


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.