Functional Rules: 4 Representations Think of the following vending machine. How do you get each item? 1. Functional Rules As an In/Out Machine Coke $1.00 Chips $1.25 Fruit $0.75 Cookie s $0.75 PICK UP FOOD HERE VENDING MACHINEPAY HERE $1 $0.25

Functional Rules: 4 Representations 1. Functional Rules As an In/Out Machine Coke $1.00 Chips $1.25 Fruit $0.75 Cookie s $0.75 PICK UP FOOD HERE VENDING 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

Functional Rules: 4 Representations Functions are in/out machines Each input as only one output All have inputs and outputs The rule must always be followed 1. Functional Rules As an In/Out Machine MACHINE FUNCTIONAL RULE INPUTOUTPUT

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

Functional Rules: 4 Representations 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 FUNCTIONAL RULE INPUT DOMAIN INDEPENDENT VAR. OUTPUT RANGE DEPENDENT VAR. 1. Functional Rules As an In/Out Machine

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

Functional Rules: 4 Representations Describe the functional rule for the following in/out data tables. Write an equation if possible. I DO 2. Examples In (x)Out (y) Description: Output is two times the input, then add three Equation: y = 2x + 3

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

Functional Rules: 4 Representations YOU DO 2. Examples In (x)Out (y) Description: Equation: Rule: Output is three times the input, plus one Y = 3x Y = 3x + 1 Y = 3(12) + 1 = 37 Y = 3x = 3x = 3x 25 = x

Functional Rules: 4 Representations YOU DO 2. Examples In (x)Out (y) House4 Cup2 Writer5 Elephant7 Spin Mathematics Description: Equation:

Functional Rules: 4 Representations 1. Write at least 5 different rules for the following in/out table 2. Create your own functional rule You must have domain, range, rule and a in/out table Examples: McD Menu, Temperature 3. Classwork In (x)Out (y) 1030 RULE: Based on menu choice, customer will pay output INPUT Value Meal Choice 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

Functional Rules: 4 Representations 1.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) FunctionInputOutput RuleDomainRange Coordinate Plane Data TableEquation Independent Variable Dependent Variable Four Representations