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Graph Rational Function with Holes and Asymptotes

3,082 views · Published 7 August 2014 · 16:38 · Indexed 12 November 2026

Channel: Anil Kumar · 2014 · People & Blogs

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Steps to Graph Reciprocal Function:
1.  Factor and determine restrictions
2.  Analyse discontinuities (hole/vertical asymptote)
3.  Write Restrictions, Domain and Range
4.  Simplify function
5. Check end-behaviour and behaviour near the asymptotes
6. Take some points on either side is vertical asymptote
7. Mark asymptotes and holes
8. Sketch a smooth graph with key points

Rational Functions Concepts: https://www.youtube.com/watch?v=e_IJXLTXR40&list=PLJ-ma5dJyAqqOPK52D4loMa0LwmvE3wV3&index=3 
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Rational equations have polynomials in numerator and denominator
Pre Calculus Review Playlist: https://www.youtube.com/playlist?list=PLJ-ma5dJyAqqAzESLvBHmE33jMMVkg0fU
#globalmathinstitute  #anilkumar #rationalfunctions #rationalfunctionsTest #mhf4u #ibslmath Graph of Reciprocal Functions
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Rational function, R(x), is of the form P(x)/Q(x) where Q(x) is not equal to 0 and both p and q are polynomials. Reciprocal of a function may not be a rational function. 
Rational function may not always have a vertical asymptote.

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