Post on 19-Jan-2016
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