1. Functions and Tables

2. 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)

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

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

5. 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 ______ = ________ = 10
The rule must be + 3 because 6 + 3=9 and = 10

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

7. 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

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

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

10. 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

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

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

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

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

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