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Do Now • Find the Inputs and Outputs Inputs: _______ Outputs: _______ Target: I can identify the domain and range of a function. ©Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015 Real Numbers Rational Numbers Integers Whole Numbers Counting Numbers 0 1 3 5 2 4 3 1 2 3… …,-3, -2, -1 Irrational Numbers 2 Domain and Range Discrete and Continuous Graphs ©Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015 Some graphs are connected lines or curves called continuous graphs. Some graphs are only distinct points. They are called discrete graphs Continuous graph Discrete Graph Interpreting Intervals Graphs Interpreting Domain and Range Graphs means: All real numbers from 0 to 4, not including 4. • An empty dot or circle means that the number is not included in the solution. • A filled dot or circle means that the number is included in the solution. Some Examples Finding the Domain and Range of a Relation Give the domain and range of the graph. The domain value is all x-values from 1 through 5, inclusive. The range value is all y-values from 3 through 4, inclusive. Domain: 1 ≤ x ≤ 5 Range: 3 ≤ y ≤ 4 The relation is a function. It passes the vertical line test. Identifying Domain and Range Give the domain and range of the relation. Tell whether the relation is a function. Explain. Range Draw in lines to see the domain and range values Domain Domain: –5 ≤ x ≤ 3 Range: –2 ≤ y ≤ 1 The relation is not a function. It fails the vertical line test. - Work alone first (10 minutes) Work with a partner (10 minutes) Ask for help to your partner first Ask for teacher help If you are done with today’s classwork then start or complete the last handout given yesterday. I will collect today’s work for grading. Exit ticket