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Algebra Series - Concepts and Formulas
Rational Functions 3 and Variations (ALG-CF28)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering rational functions and variations, explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• How to determine the extreme value of the middle branch of a rational function
• Rational functions in which the numerator and denominator are not relatively prime
• How to sketch graphs of rational functions
• Variations
• Direct variation
• The constant of variation
• Direct proportion
• The constant of proportionality
• Hooke's Law
• Spring constants
• Indirect variation
• Inverse variation
• Inverse proportion
• Joint variation
• Combined variation
• An application of variation: The Gravitational Constant
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System requirements: Windows 95, 98, 98SE, 2000, NT, Me, XP or Vista; at least 256 MB of RAM (memory)

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Graphing Fundamentals 1 - Relations and Functions, Function Tests (ALG-CF9)
Graphing Fundamentals 2 - Symmetries, Intercepts, Zeros and Slopes (ALG-CF10)
Graphing Fundamentals 3 - Maxima and Minima, Lines and Translations (ALG-CF11)
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Curve Sketching Toolboxes:
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