Rational Functions

Definition (Rational Function) Let and be polynomial functions, then the function is called a rational function and is defined everywhere on except for where

Example (Rational Functions of Two Variables) Sketch the graph and state the domain of the rational function

    Solution. From three different viewpoints we have,
    


The domain is

Example (Rational Functions of Two Variables) Sketch the graph and state the domain of the rational function  

    Solution. From three different viewpoints we have,



The domain is   

Example (Rational Functions of Two Variables) Sketch the graph and state the domain of the rational function

    Solution. From three different viewpoints we have,



The domain is   

Example (Rational Functions of Two Variables) Sketch the graph and state the domain of the rational function

    Solution. From three different viewpoints we have,



The domain is

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Rational Functions
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/rational-functions.html