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

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

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

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

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.

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

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

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

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

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

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

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