# How to find the horizontal asymptote

Rational Functions: Finding Horizontal and Slant Asymptotes 1 - Cool Math has free online cool math lessons, cool math games and fun math activities. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. If both polynomials are the same degree, divide the coefficients of the highest degree terms. Example: Both polynomials are 2 nd degree, so the asymptote is at ; If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote. Learn how to find the horizontal asymptote - Duration: 2:36. Brian McLogan 160,697 views. 2:36. Horizontal and Vertical Asymptotes - Slant / Oblique - Holes - Rational Function. Uses worked examples to explain how to find horizontal asymptotes. Explains how functions and their graphs get close to horizontal asymptotes, and shows how to use exponents on the numerators and denominators of rational functions to quickly and easily determine horizontal asymptotes. MIT grad shows how to find the horizontal asymptote (of a rational function) with a quick and easy rule. Nancy formerly of MathBFF explains the steps. For how to find VERTICAL asymptotes instead. Horizontal asymptotes are horizontal lines the graph approaches. Horizontal Asymptotes CAN be crossed. To find horizontal asymptotes: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).; If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote. Example A: Find the horizontal asymptotes of: $$f(x)=\frac 2x^3-2 3x^3-9$$ Remember that horizontal asymptotes appear as x extends to positive or negative infinity, so we need to figure out what this fraction approaches as x gets huge. The asymptote calculator takes a function and calculates all asymptotes and also graphs the function. The calculator can find horizontal, vertical, and slant asymptotes. In mathematics, an asymptote of a function is a line that a function get infinitesimally closer to, but never reaches. In more precise mathematical terms, the asymptote of a curve can be defined as the line such that the distance between the line and the curve approaches 0, as one or both of the x and y coordinates of the curve tends towards infinity. 9 how to find equation of horizontal asymptote how to find equation of horizontal asymptote any rational function how to find horizontal asymptotes kristakingmath.