Lesson 1.4 ‐ Patterns and Functions Vocabulary • A function is a relationship that assigns exactly one output value for each input value. • A function rule is an equation that describes a functional relationship. 1 Ex 1: Suppose you are buying apples from a vending machine. Use the table to write a function rule. 2 Ex 2: Make a two‐story house by adding one toothpick that goes from side‐to‐side. Use the table to write a function rule. 3 • An independent quantity is the input • A dependent quantity is the output Ex 3: Suppose you want to find out how much gas a trip will take in a car that uses one gallon of gas to go about 18 miles. What is the independent quantity and dependent quantity for this situation? 4 Ex 4: • The domain is the set of all of the possible values of the input • The range is the set of all possible values of the output Ken burns 425 calories per hour when he bikes. He bikes from 3 to 7 hours each weekend. Identify the independent and dependent quantities for this situation and find reasonable domain and range values. 5 Homework: Page 29 #1‐15 6
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