1. MGSE.8.F.1-2

2. Vocabulary Relation- A pairing of input values and output values Function- A relation in which every input has exactly one output Domain- The set of all possible input (x) values Range- The set of all possible output (y) values Ordered Pair- A description of where to find a point on the coordinate plane

3. Wait, What? You already know how to do this. Now, you need to know just a little more information to help you describe it. xy -2 0 1 2 1.Which letter represents the input? 2.Which letter represents the output? 3.List the domain. 4.List the range.

4. Is this relation considered a function?

5. DomainRange If each x value has only one y value, then the relation is also a function.

6. inputoutput Does each x value have only one y value? Are any x values repeated?

7. Use the vertical line test to determine if any x value has more than one y value.

8. Example of relations that are not functions. DomainRange Why is the relation not also a function?

9. Does this graph pass the vertical line test? Is it a function?

10. Notation inputoutputIs this relation also a function? Why?

11. Opening 1/25/16 xy domainrange

12. Vocabulary Independent variables- the input or domain (x value) Dependent variables- the output or range (y value)

13. Opening Alton pays $48 per month for satellite television service. Show this relation for 4 months using a table, graph, and a mapping diagram. xy 1 2 3 4 Months Money $

14. List the ordered pairs and create a table from the mapping diagram. Is this a function? Explain. inputoutput Ordered Pairs:

15. List the ordered pairs and create a mapping diagram from the table. Is this relation a function? Explain. x-5-4-2-4 y891011 Ordered Pairs:

16. Use graphs to determine if a relation is a function

18. Real World Problems Sparkles charges $35 per hour for parties. Make a table of ordered pairs in which the x-coordinate represents the hours and the y- coordinate represents the total cost for 2, 3, 4, and 5 hours. xy