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# Writing Function Rules

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### Writing Function Rules

1. 1. writing Function Rules
2. 2. What is a function? <ul><li>A relation where no x’s repeat. </li></ul><ul><li>Can be a graph, equation, table. </li></ul>
3. 3. Function Notation <ul><li>y =2 x -5 </li></ul><ul><li>f ( x )=2 x- 5 </li></ul><ul><li>f of x </li></ul><ul><li>f ( x ) is y </li></ul>
4. 4. Function Notation <ul><li>y =2 x -5 for x = -2 </li></ul><ul><li>f (-2)=2 x -5 </li></ul><ul><li>Input = </li></ul><ul><li>Output = </li></ul>
5. 5. Rules from Tables <ul><li>Use guess and check. </li></ul><ul><li>What do you have to do to the x to get the y? </li></ul>
6. 6. Rules & Tables 1 st <ul><li>Try adding or subtracting something to/from the x. </li></ul>
7. 7. Rules & Tables 2 nd <ul><li>Try multiplying /dividing something to the x. </li></ul>
8. 8. Rules & Tables 3 rd <ul><li>Try a combination of +, -, x, / to the x . </li></ul>
9. 9. Rules & Tables 4 th <ul><li>Make sure the rule works for each set of numbers. </li></ul>
10. 10. Write a rule: f(x)=x+4 8 4 7 3 6 2 5 1 Y X
11. 11. Write a rule: f(x)=x 2 81 9 36 6 9 3 0 0 Y X
12. 12. Write a rule: f(x)=2x-1 19 10 13 7 7 4 1 1 Y X
13. 13. Review <ul><li>What does function notation look like? </li></ul><ul><li>What is equivalent to y ? </li></ul>
14. 14. Review <ul><li>In function notation, where is the input located? </li></ul>
15. 15. Review <ul><li>What are the steps for writing a function rule for a table? </li></ul>