Channel: NancyPi

Category: Education

Tags: how tomathematicsrulesalgebratrickhow to findexplanationhorizontal asymptoteexamplehow-toproblemsolutionfindfunctionslant asymptoteoblique asymptotehow do youasymptotelimitsalgorithmtestprecalculusequationdegreenancytutordegree of a functionhelpsolvealgebra 2rational functionnancypigeometryx-axismath

Description: 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, jump to the video: youtu.be/V137qmDN9Qw Follow me on Instagram! instagram.com/mathnancy Follow me on Twitter: twitter.com/nancypi The degree of a function is the highest power of x that appears in the polynomial. To find the horizontal asymptote, there are three easy cases. 1) If the degree of the numerator expression is less than the degree of the denominator expression, then the horizontal asymptote is y=0 (the x-axis). 2) If the degree of the numerator is equal to the degree of the denominator, then you can find the horizontal asymptote by dividing the first, highest term of the numerator by the first, highest term of the denominator. This will simplify to y = some constant (just a number). 3) If the degree of the numerator is greater than the degree of the denominator, then there is no horizontal asymptote. For more of my math videos, check out: nancypi.com