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Name _______________________________________ Date __________________ Class __________________ Graphs and Functions Challenge: What’s My Rule? Sometimes you are given a set of ordered pairs and need to find a function rule that describes how to get the outputs from the inputs. Example Write a function rule for the ordered pairs in the table. x y To get each y–value, double the corresponding x–value and then add 1. 3 5 6 8 7 11 13 17 The rule is y 2x 1 Check the rule by making sure each input (x-value) n the table gives the corresponding output (y-value). 2(3) 1 7 2(5) 1 11 2(6) 1 13 2(8) 1 17 Write a function rule for the ordered pairs in each table. 1. 4. 5 6 0 2 8 11 5 9 1 2 4 7 y –2 –1 3 7 –10 –5 15 35 5. y –3 0 1 4 –7 –1 1 7 _________________ 8. y 0 4 –1 0 –9 –8 10 18 4 10 –4 2 Rule: __________________ __________________ y 1 2 3 4 5 7 9 11 6. y –1 2 6 9 –1 2 6 9 __________________ x y 0 2 5 9 1 7 16 28 Rule: __________________ __________________ x Rule: 3. x x Rule: _________________ x Rule: Rule: _________________ x Rule: 7. y y Rule: 2. x x 9. x y –2 2 3 5 4 4 9 25 Rule: __________________ Holt McDougal Mathematics Name _______________________________________ Date __________________ Class __________________ Challenge 1. 2. 3. 4. 5. 6. 7. 8. 9. y=x+4 y = 2x y=x–8 y = 5x y = 2x + 3 y = 3x + 1 y = 2x – 1 y=x y = x² Holt McDougal Mathematics