How To Find The Vertical Asymptote of a Function

This algebra video tutorial explains how to find the vertical asymptote of a function. It explains how to distinguish a vertical asymptote from a hole and how to factor rational functions in order to identify all vertical asymptotes in a function. This video contains plenty of examples and practice problems for you to master this concept.

Fundamental Theorem of Algebra:

Rational Expressions - Basic Intro:

Simplifying Rational Expressions:

Multiplying Rational Expressions:

Dividing Rational Expressions:

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Adding & Subtracting Rational Expressions:

Rational Expressions - Unlike Denominators:

Simplifying Complex Rational Expressions:

How To Solve Rational Equations:

Rational Equations - Extraneous Solutions:

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Horizontal and Slant Asymptotes:

Finding Rational Functions Given 2 Points:

Rational Functions - X and Y Intercepts:

Graphing Advanced Rational Functions:

Rational Inequalities:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

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[georgesadler]

MR. Organic Chemistry Tutor, thank you for a solid introduction to Finding Vertical Asymptotes in precalculus. Learning these concepts are very helpful in all levels of advanced mathematics.

[ckimels]

2:50

S O W H A T W E H A V E R E M A I N I N '

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[_perryperry]

Is it a pre-requisite to factor first all of the polynomials (numerator & denominator) before graphing the rational function or that's just for getting the Vertical Asymptotes?

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[jingyiwang]

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[khanhlam]

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[mathtutorph]

Can I ask why do you need to factor both the numerator and denominator (which is a linear numerator and quadratic denominator) in order to get the vertical asymptote? And why can't we just solve only the denominator? Why do we need to factor the numerator too? Sorry for my ignorance and thank you to someone who can answer my confusion. I've been stuck studying this for days.

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