1. Do Now Find the Inputs and Outputs Inputs: _______ Outputs: _______

2. 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

3. Real Numbers 0 …,-3, -2, -1 Integers Rational Numbers Irrational Numbers 1 2 3 … Counting Numbers Whole Numbers

4. Domain and Range

6. 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

7. Some graphs are connected lines or curves called continuous graphs. Some graphs are only distinct points. They are called discrete graphs Continuous graphDiscrete Graph

8. Interpreting Intervals Graphs

9. Interpreting Domain and Range Graphs 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. means: All real numbers from 0 to 4, not including 4.

10. Some Examples

11. Finding the Domain and Range of a Relation Give the domain and range of the graph. Domain: 1 ≤ x ≤ 5 Range: 3 ≤ y ≤ 4 The domain value is all x-values from 1 through 5, inclusive. The range value is all y-values from 3 through 4, inclusive. The relation is a function. It passes the vertical line test.

12. Identifying Domain and Range Give the domain and range of the relation. Tell whether the relation is a function. Explain. Draw in lines to see the domain and range values Domain: –5 ≤ x ≤ 3 Range: –2 ≤ y ≤ 1 Range Domain The relation is not a function. It fails the vertical line test.

13. -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. 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.

14. Exit ticket