Horizontal Asymptote Calculator

Horizontal asymptote are known as the horizontal lines. Here the horizontal refers to the degree of x-axis, where the denominator will be higher than the numerator. Make use of the below online analytic geometry calculator which is used to find the horizontal asymptote point by entering your rational expressions/functions. On submitting your values you will be able to see the result along with the graph.

Find Asymptote Point of a Rational Function / Equation in Graph

Ex: 2x^2+4x+1 / x^2-16

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Method 1:

The line y = L is called a Horizontal asymptote of the curve y = f(x) if either

Horizontal asymptote
Method 2:

For the rational function, f(x)

In equation of Horizontal Asymptotes,
1. If the degree of x in the numerator is less than the degree of x in the denominator then y = 0 is the Horizontal asymptote. 2. If the degree of x in the numerator is equal to the degree of x in the denominator then y = c where c is obtained by dividing the leading coefficients.


Consider a polynomial equation : 2x^2+4x+1 / x^2-16

Step 1 :

Numerator's highest degree polynomial is 2 and denominator's highest degree polynomial is 2. Both the denominator and numerator have the same highest degree polynomials, we divide the coefficients of higher degree polynomials.
= 2 / 1
y = 2 is the horizontal asymptote.

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