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Graphing rational functions and solving rational inequalities without a calculator

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Abstract:

Many textbooks that solve the problem of graphing rational functions or solving rational inequalities lack a nice way to unify their steps to create a simple method to solve problems.
With standard rules of end behavior of rational functions based on the degree of the numerator and the degree of the denominator and the sign of leading coefficents of the numerator and the denominator together with the mulitiplicity of the zeros and vertical asmyptotes we can solve the problems in record time. Also, given a graph of a rational function we can approximate the actual rational function very easily.
Solving rational inequalities and graphing rational functions based on solid mathematical theory is fun.
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Association:
Name: The Mathematical Association of America MathFest
URL:
http://www.maa.org


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URL: http://citation.allacademic.com/meta/p521943_index.html
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MLA Citation:

joyce, peter. "Graphing rational functions and solving rational inequalities without a calculator" Paper presented at the annual meeting of the The Mathematical Association of America MathFest, Lexington Convention Center, Lexington, KY, Aug 04, 2011 <Not Available>. 2014-11-25 <http://citation.allacademic.com/meta/p521943_index.html>

APA Citation:

joyce, p. , 2011-08-04 "Graphing rational functions and solving rational inequalities without a calculator" Paper presented at the annual meeting of the The Mathematical Association of America MathFest, Lexington Convention Center, Lexington, KY <Not Available>. 2014-11-25 from http://citation.allacademic.com/meta/p521943_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Review Method: Peer Reviewed
Abstract: Many textbooks that solve the problem of graphing rational functions or solving rational inequalities lack a nice way to unify their steps to create a simple method to solve problems.
With standard rules of end behavior of rational functions based on the degree of the numerator and the degree of the denominator and the sign of leading coefficents of the numerator and the denominator together with the mulitiplicity of the zeros and vertical asmyptotes we can solve the problems in record time. Also, given a graph of a rational function we can approximate the actual rational function very easily.
Solving rational inequalities and graphing rational functions based on solid mathematical theory is fun.


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