- #1

fog37

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- TL;DR Summary
- asymptotes of rational functions when numerator degree> denominator degree

Hello,

I know that functions can have or not asymptotes. Polynomials have none.

In the case of a rational functions, if the numerator degree > denominator degree by one unit, the rational function will have a) one slant asymptote and b) NO horizontal asymptotes, c) possibly several vertical asymptotes.

Thanks!

I know that functions can have or not asymptotes. Polynomials have none.

In the case of a rational functions, if the numerator degree > denominator degree by one unit, the rational function will have a) one slant asymptote and b) NO horizontal asymptotes, c) possibly several vertical asymptotes.

- How many slant asymptotes can a rational function have when numerator degree > denominator degree by one unit? Always just a single one?
- What happens if
**numerator degree >denominator degree**by 2 or even more units? Does the rational function still have a single slant asymptote, none or more than one? For example, ##\frac {4x^5+2}{3x+2}##

Thanks!