Pre-Cal 30S January 8, 2009
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Pre-Cal 30S January 8, 2009

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Definition of a function, operations on functions, function composition.

Definition of a function, operations on functions, function composition.

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Pre-Cal 30S January 8, 2009 Pre-Cal 30S January 8, 2009 Presentation Transcript

  • Functions: Putting the pieces together puzzling reach by flickr user jnthnhys
  • What is a function? Let's play a game ... All functions are relations, but not all relations are functions.
  • An example of a relation, that is a function is: An example of a relation, that is NOT a function is: What's The Verticle Line Test?
  • Relations one-to-many Functions many-to-one one-to-one
  • The Verticle Line Test Sweep a vertical line across the graph of the function. If the line crosses the graph more than once it is not a function, only a relation.
  • Commutativity + • functions, order in which you put them When Adding or Multipyling in doesn't matter, this is called the Commutative Law. / – or Dividing, order in which you put them in does When Subtracting matter because it can result in different answers.
  • Operations on Functions = = = = = = = = = =
  • ° Operations on Functions = = °
  • ° Operations on Functions = = ° ° ° °