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

2

0

…,-3, -2, -1

IntegersRational Numbers

Irrational Numbers

1 5342 3

1 2 3 …

Counting Numbers

Whole Numbers

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

• 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. means: All real numbers from 0 to 4, not including 4.

Some Examples

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.

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

Ran

ge

Domain

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