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Functions

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This is a lesson I created as an intro to functions for my Algebra 1 class. It defines functions, domain, and range. IT involves students creating an input and output table and then graphing these …

This is a lesson I created as an intro to functions for my Algebra 1 class. It defines functions, domain, and range. IT involves students creating an input and output table and then graphing these points on a coordinate plane. Good intro or transition into solving and graphing equations.

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Transcript

  • 1. Functions
  • 2. Warm Up
    • Figure out what the pattern is.
    • J, F, M, A, M, J, J…
    • S, M, T, W…
    • O, T, T, F…
    • George, John, Thomas, James…
    • M, V, E, M, ...
    • 0, 1, 1, 2, 3, 5, 8, …
    • The most popular meal ordered at US restaurants is _________________
  • 3. What would you pick?
  • 4.
    • What do you put in?
    • What do you get out?
    • How do you control what comes out?
  • 5.
    • Does the input ever change?
    • Does the output ever change?
    • How many items do you get out each time?
  • 6. Input Output Table
    • On the next slide, make your own input output table for the above pattern.
  • 7. Input Output Table Figure Dots 1
  • 8.
    • Let’s graph our table as if they are ordered pairs.
  • 9. Graph
    • Graph the following table.
    X y -2 2 -1 4 0 6 0 8 1 10 2 12
  • 10. Function
    • A function must have only one output for each input. Are the following functions?
    In Out 1 3 1 4 2 5 3 6 In Out 1 3 2 6 3 11 4 18 In Out 9 5 9 4 8 3 7 2
  • 11. Important
    • With a function, we always want to know what we’re going to get out. If I put my dollar into the vending machine, I want my candy bar, not a bag of chips. No surprises!
    • True of False
    • For each input, you can have more than one output.
    • More than one input can have the same output.
  • 12. Vocabulary
    • A function is a ___________ that establishes a relationship between two numbers.
    • The collection of all the inputs is called the ______________ of a function.
    • The collection of all the outputs is called the ______________ of a function.