Functions and Tables

What is a Function? A function is a rule, sometimes using variables, that changes a number (input), using multiplication, division, addition, and/or subtraction creating a new number (output)

Functions Is the input _____ is the output + 5 is the rule In the incomplete equation + 5 = ___ , Is the input _____ is the output + 5 is the rule

Practice using a Function In the incomplete equation + 5 = ___ , INPUT 2 into Apply the rule + 5 7 2 + 5= ____ OUTPUT

Practice using a Function Solving the Rule If you are given the input and the output, you must determine how the number changed using addition, subtraction, multiplication, or division. + 3 + 3 6 ______ = 9 7 ________ = 10 The rule must be + 3 because 6 + 3=9 and 7 + 3 = 10

Practice using a Function Sometimes we use “function machines” to determine rules of functions. 8 The rule of the function Input 12 + 4 Output

Function Tables Let’s imagine this equation + 5 = ___ In Out The output is the result of applying the rule ( + 5) The input is a number going in. + 5 is the rule

Function Tables 5 10 Let’s imagine this equation + 5 = ___ In Out + 5 is the rule

Function Tables 5 10 7 12 Let’s imagine this equation + 5 = ___ In Out + 5 is the rule

Function Tables 5 10 7 12 10 15 Let’s imagine this equation + 5 = ___ Out 5 10 7 12 10 15 + 5 is the rule

Function Tables Let’s imagine this equation + 5 = ___ In Out 5 10 7 12 15 13 18 15 20 17 22 + 5 is the rule

Function Tables In Out 6 18 4 12 5 7 9 30 15 21 3 10 The rule is

Function Tables In Out 18 12 10 4 20 9 14 3 16 6 The rule is

Function Tables In Out 20 5 8 2 4 24 3 7 1 6 12 28 The rule is

Function Tables In Out 17 30 1 14 10 21 35 19 23 34 22 6 The rule is