W3: Discussion Forum Find an example of a rational function that has no vertical or horizontal asymptotes or holes. Make sure your p(a ) and q(x ) are polynomial functions. No constant functions or radical functions. The denominator, q( ), must contain a variable for it to be considered a rational function. [Hint: It should be easy to find one that has no horizontal or slant asymptotes just from the definitions. The hardest part will be finding one that has no vertical asymptotes. The easiest way to do this is to have a polynomial in the denominator, that when set equal to zero, has no real solutions.] Subscribe