EXPLICIT RULES: INPUT-OUTPUT FORMULAS

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EXPLICIT RULES: INPUT-OUTPUT FORMULAS

Function Machine Model 1. If you input 4 into the function machine, the output is 5. If you input 5 into the function machine, then the output is 7 What is the input-output rule for the function machine? ___________________________________________ Therefore, if the input is 8 the output would be __________ 2. If the input is 1, the output is 4. If the input is 2, the output is 7. If the input is 3, the output is 10. _____________

x y 1 5 2 6 3 7 4 8 INPUT-OUTPUT FORMULA NOW-NEXT FORMULA When looking at a sequence, an INPUT-OUTPUT formula connects the term number to the term, rather than connecting the term to the previous term like NOW-NEXT formulas. +4 INPUT-OUTPUT FORMULA NOW-NEXT FORMULA x y 1 5 2 6 3 7 4 8 +4 +4 +1 +4 +1 +1

Examples x y 1 -2 2 -1 3 4 x y 1 3 2 6 9 4 12 NOW-NEXT: NOW-NEXT: 4 NOW-NEXT: x y 1 3 2 6 9 4 12 NOW-NEXT: INPUT-OUTPUT: INPUT-OUTPUT:

You Try! x y 2 1 3 1.5 4 5 2.5 x y 1 3 2 5 7 4 9 x y 1 2 8 3 27 4 64 NOW-NEXT: NOW-NEXT: NOW-NEXT: INPUT-OUTPUT: INPUT-OUTPUT: INPUT-OUTPUT: