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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 points on a coordinate plane. Good intro or transition into solving and graphing equations.

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### Functions

1. 1. Functions
2. 2. Warm Up <ul><li>Figure out what the pattern is. </li></ul><ul><li>J, F, M, A, M, J, J… </li></ul><ul><li>S, M, T, W… </li></ul><ul><li>O, T, T, F… </li></ul><ul><li>George, John, Thomas, James… </li></ul><ul><li>M, V, E, M, ... </li></ul><ul><li>0, 1, 1, 2, 3, 5, 8, … </li></ul><ul><li>The most popular meal ordered at US restaurants is _________________ </li></ul>
3. 3. What would you pick?
4. 4. <ul><li>What do you put in? </li></ul><ul><li>What do you get out? </li></ul><ul><li>How do you control what comes out? </li></ul>
5. 5. <ul><li>Does the input ever change? </li></ul><ul><li>Does the output ever change? </li></ul><ul><li>How many items do you get out each time? </li></ul>
6. 6. Input Output Table <ul><li>On the next slide, make your own input output table for the above pattern. </li></ul>
7. 7. Input Output Table Figure Dots 1
8. 8. <ul><li>Let’s graph our table as if they are ordered pairs. </li></ul>
9. 9. Graph <ul><li>Graph the following table. </li></ul>X y -2 2 -1 4 0 6 0 8 1 10 2 12
10. 10. Function <ul><li>A function must have only one output for each input. Are the following functions? </li></ul>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. 11. Important <ul><li>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! </li></ul><ul><li>True of False </li></ul><ul><li>For each input, you can have more than one output. </li></ul><ul><li>More than one input can have the same output. </li></ul>
12. 12. Vocabulary <ul><li>A function is a ___________ that establishes a relationship between two numbers. </li></ul><ul><li>The collection of all the inputs is called the ______________ of a function. </li></ul><ul><li>The collection of all the outputs is called the ______________ of a function. </li></ul>