Asymptote Calculator
Find vertical, horizontal, and oblique asymptotes for a rational function using polynomial coefficients.
Function details
Your result
Asymptote rules
Zeros of the denominator that do not cancel
Compare the numerator and denominator degrees
Polynomial division when the degree difference is 1
Frequently asked questions
What is a vertical asymptote?
A vertical asymptote is a line x = a that the function approaches when the denominator tends to zero and the factor does not cancel.
When does a horizontal asymptote exist?
If the numerator degree is lower, y = 0. If both degrees are equal, divide the leading coefficients.
What is an oblique asymptote?
An oblique asymptote is a slanted line found by polynomial division when the numerator degree is exactly one greater than the denominator degree.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
