Relations and Functions

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Relations and Functions

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  1. Relations and Functions

    Slide 1 - Relations and Functions

    • Domain and Range
  2. Relation:  a set of ordered pairs

    Slide 2 - Relation: a set of ordered pairs

    • Function: a relation where each input has no more than one output
    • EVERY FUNCTION IS A RELATION BUT NOT EVERY RELATION IS A FUNCTION!
  3. There are 3 ways to looks at relations and functions.

    Slide 3 - There are 3 ways to looks at relations and functions.

    • I ordered pair set
    • II mapping
    • III graphs
  4. I		Ordered Pair Set

    Slide 4 - I Ordered Pair Set

    • To be a function, each ordered pair must have a different
    • x value.
    • { (1,3) , (5,11) , (2,9) , (-1,11) } function
    • B. { (1,3) , (5,11) , (1,8) , (-1,3)} Not a function
  5. Mapping

    Slide 5 - Mapping

    • Function?
    • Function?
  6. A function will pass the “vertical line test”

    Slide 6 - A function will pass the “vertical line test”

  7. Domain and Range

    Slide 7 - Domain and Range

    • Domain: set of all inputs for a function.
    • Look at the ordered pairs. The x values represent the domain. Put them in a set.
    • Range: Set of all outputs for a function.
    • Look at the ordered pairs. The y values represent the range. Put them in a set.