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Pre Calculus Series - Curve Sketching Toolboxes
Rational Functions (PCS-TB3)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering rational functions. Each Toolbox sheet fully explains graphing concepts in detail and contains a large number of highly detailed illustrations. Each Toolbox also outlines special features and techniques that are specific to sketching the particular type(s) of curves on that sheet.

Topics Covered:

  • Rational functions
  • The five basic types of rational functions
  • How to sketch the graphs of rational functions
  • How to write an equation of a rational function from its graph

Related Stuffed Sheets:
Algebra Series:
Rational Algebraic Expressions, Operations on Rational Algebraic Expressions (ALG-CF5)
Graphing Fundamentals 1 - Relations and Functions (ALG-CF9)
Graphing Fundamentals 2 - Symmetries, Intercepts, Zeros and Slopes (ALG-CF10)
Graphing Fundamentals 3 - Maxima and Minima, Lines and Translations (ALG-CF11)
Approximations of Real Polynomial Roots, Rational Functions 1 (ALG-CF26)
Rational Functions 2 - Types of Rational Functions (ALG-CF27)
Rational Functions 3 and Variations (ALG-CF28)
Curve Sketching Toolboxes:
Graphing Facts and Guidelines (PCS-TB1)

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Last Update: 08/25/14