1. 1. Coke $1.00 Chips $1.25 Fruit $0.75 Cookies
Think of the following vending machine. How do you get each item? 1.
Functional Rules
As an In/Out Machine
$0.25 $1
VENDING MACHINE
PAY HERE
Coke
$1.00
Chips
$1.25
Fruit
$0.75
Cookies
PICK UP FOOD HERE

2. 1. Coke $1.00 Chips $1.25 Fruit $0.75 Cookies
Functional Rules
As an In/Out Machine
The vending machine follows a rule:
Input: a certain amount of money
Rule: depending on money, give a type of food or drink
Output: food or drink
VENDING MACHINE
Coke
$1.00
Chips
$1.25
Fruit
$0.75
Cookies
PICK UP FOOD HERE

3. 1. Functions are in/out machines Functional Rules
As an In/Out Machine
Functions are in/out machines
Each input as only one output
All have inputs and outputs
The rule must always be followed
INPUT
MACHINE
FUNCTIONAL RULE
OUTPUT

4. 1. Fill in the missing box: Functional Rules As an In/Out Machine
Triangle
RULE: # of interior angles in shape
3 Angles
RULE: First letter of the month J
January or
June or
July
August
RULE: Season of the year
Summer

5. Domain: is the set of total possible input values
Domain: is the set of total possible input values. This is also the independent variable
Range: is the set of total possible output values. This is also the dependent variable 1.
Functional Rules
As an In/Out Machine
INPUT
DOMAIN
INDEPENDENT VAR.
FUNCTIONAL RULE
OUTPUT
RANGE
DEPENDENT VAR.

6. GRAPH DATA TABLE EQUATION DESCRIBE RULE
4 Representations: Functions/Functional Rules can be represented in four ways:
Graph
Data Table
Equation
Description of the Rule 1.
Functional Rules
As an In/Out Machine
INPUT
DOMAIN
INDEPENDENT VAR.
FUNCTIONAL RULE
OUTPUT
RANGE
DEPENDENT VAR.
4 REPRESENTATIONS
GRAPH DATA TABLE EQUATION DESCRIBE RULE

7. Describe the functional rule for the following in/out data tables
Describe the functional rule for the following in/out data tables. Write an equation if possible.
I DO 2.
Examples
Description: Output is two times the input, then add three
Equation: y = 2x + 3
In (x)
Out (y) 10 23 5 13 1 3

8. Describe the functional rule for the following in/out data tables
Describe the functional rule for the following in/out data tables. Write an equation if possible.
WE DO 2.
Examples
In (x)
Out (y) 2 4 3 6 11 22 27 18
Description: Output is two times the input
Equation: y = 2x
Y = 2x
Y = 2(27) = 54 54 9
Y = 2x
18 = 2x
9 = x

9. 2. YOU DO Examples In (x) Out (y) 2 7 4 13 22 10 31 12 76
Description:
Equation:
Rule: Output is three times the input, plus one
Y = 3x + 1
Y = 3x + 1
Y = 3(12) + 1 = 37 37 25
Y = 3x + 1
76 = 3x + 1
75 = 3x
25 = x

10. 2. YOU DO Examples In (x) Out (y) House 4 Cup 2 Writer 5 Elephant 7
Description:
Equation:
In (x)
Out (y)
House 4
Cup 2
Writer 5
Elephant 7
Spin
Mathematics

11. Using complete sentences, write a word splash (short paragraph) explaining how you remember the following key terms are connected: 3.
Classwork
(Finish rest for HW)
Function
Input
Output
Rule
Domain
Range
Coordinate Plane
Data Table
Equation
Independent Variable
Dependent Variable
Four Representations

12. RULE: Based on menu choice, customer will pay output
2. Write at least 5 different rules for the following in/out table
3. Create your own functional rule
You must have domain, range, rule and a in/out table
Examples: McD Menu, Temperature 3.
Classwork
(Finish rest for HW)
In (x)
Out (y) 10 30
INPUT
Value Meal Choice
RULE: Based on menu choice, customer will pay output
OUTPUT
Money owed
In (x)
Out (y)
Big Mac
$5.99
Nuggets
$5.59
Qtr Pdr
$5.25
REMEMBER: EACH INPUT HAS ONLY ONE OUTPUT