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Algebra Series - Concepts and Formulas
Graphing Fundamentals 1 - Relations and Functions, Function Tests (ALG-CF9)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas spanning graphing fundamentals, relations, functions and function tests, 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:

  • The coordinate or Cartesian plane
  • The origin
  • x- and y-axes
  • x- and y- coordinates of a point
  • Abscissas
  • Ordinates
  • Ordered pairs
  • Graphs on a coordinate plane
  • Graphs of open sentences
  • Quadrants
  • Cartesian product
  • Relations
  • Domain
  • Range
  • Functions
  • The vertical line test
  • Function notation
  • Independent and Dependent variables
  • The argument of a function
  • Single-valued or one-to-one functions
  • Multiple-valued or one-to-many functions
  • The horizontal line test
  • Split or piecewise functions

Related Stuffed Sheets:
Algebra Series:
Algebraic Expressions, Order of Operations, Sets (ALG-CF1)
Sets of Numbers, Number Lines, Intervals and Absolute Value (ALG-CF2)
Algebraic Fractions, Rules of Exponents, Operations on Polynomials 1 (ALG-CF3)
Operations on Polynomials 2, Polynomial Factoring Techniques (ALG-CF4)
Rational Algebraic Expressions, Operations on Rational Algebraic Expressions (ALG-CF5)
Continued Fractions, Exponents and Radicals (ALG-CF6)
Linear, Rational and Absolute Value Equations (ALG-CF7)
Radical Equations, Linear and Absolute Value Inequalities (ALG-CF8)
Graphing Fundamentals 2 - Symmetries, Intercepts, Zeros and Slopes (ALG-CF10)
Graphing Fundamentals 3 - Maxima and Minima, Lines and Translations (ALG-CF11)
Curve Sketching Toolboxes:
Graphing Facts and Guidelines (PCS-TB1)

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Last Update: 05/06/08