Free online calculator
Asymptote Calculator
Analyze rational functions to find vertical, horizontal, and slant asymptotes while excluding removable holes.
Solution
Your solution will appear here
Enter a problem, use the dedicated math keys, then calculate to see the answer and explanation.
Step-by-step solutions
Clear, detailed explanations
Instant results
Accurate answers in seconds
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How to Use the Asymptote Calculator
1
Enter a rational function
Use a numerator divided by a denominator in x.
2
Analyze the denominator
Real denominator zeros are checked for vertical asymptotes or holes.
3
Compare polynomial degrees
Degree and division rules determine horizontal or slant behavior.
Example
Frequently Asked Questions
What is a vertical asymptote?
It is a vertical line x = a approached by the function when the denominator tends to zero without cancellation.
Can a function have a slant asymptote?
Yes. A slant asymptote occurs when the numerator degree is exactly one greater than the denominator degree.
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