1. Bell - Ringer Review Plot the following coordinates:
(2 , 6) , ( -4 , 2) , ( 3 , 0) , (1 , -5) , ( - 2, -4)

2. Relations and Functions
Domain and Range
not this range though

3. Learning Target
I will be able to understand the concepts of relations and functions and be able to represent each by Tables, Graphing, and Mapping Diagrams.

4. Definitions for Relation, Domain, and Range
Relation – correspondence between a first set of values (domain) and a second set of values (range).
This is referred to as ordered Pairs (x , y)
Domain all of the x-values
Range  all of the y-values
Relations can be expressed by Tables, Graphs, and Mapping Diagrams.

5. Relation – correspondence between a first set of values (domain) and a second set of values (range). ordered Pairs (x , y)
In the scoring system of some track meets, first place is worth 5 points, second place is worth 3 points, third place is worth 2 points, and fourth place is worth 1 point This relation as ordered pairs are : {(1,5), (2,3), (3,2), (4,1)}
Domain {1, 2, 3, 4, }
Range {5, 3, 2, 1}
As a table x y
Place
Points 1 5 2 3 4

6. Relations – As a Graph {(1,5), (2,3), (3,2), (4,1)}
Domain {1, 2, 3, 4}
Range {5, 3, 2, 1}

7. Relations as a Mapping diagram
{(1,5), (2,3), (3,2), (4,1)}
Place Points
Domain { 1, 2, 3, 4}
Range { 5, 3, 2, 1} 1 2 3 4 5 3 2 1

8. Domain and range “We do”
Give the domain and range of each relation.
domain:
range:
Domain:{
Range :{ X Y 7 3 4 2 1 5 8 6 4 3 9 8 5 2

9. Domain and range –of Graph “we do”
Give the domain and range of the following graph D: R:

10. Domain and Range: -- “you do”X Y 7 9 -8 12 6
-14 11 3 -7 4
Give the Domain and Range of each relation 8 -4 20 7 -9 1 2 4 11 8 10

11. Domain and Range – “you do”
Give the domain and range of the following graph

12. Domain and Range – express other way “I do”
Express the relation{(-2,4) , (3,3), (0,6) ,(-1,-4)}
As a table, graph, and mapping diagram.
as a graph
As a table: x Y

13. Domain and range - “I Do”
As a mapping diagram
{(-2,4) , (3,3), (0,6) ,(-1,-4)}

14. We Do –express the relation as a table and mapping diagram
{(-1 , 4) , (5 , -2) , (3 , 5) , (4 ,0)} x y

15. Express the relation as a graph – We Do
{(-2,4) , (3,3), (0,6) ,(-1,-4)}

16. Relations expressed _ “you do”
Express the relation as a table, graph, and mapping diagram
{(4 , 0) , (-2 , 4) , (3 , -5) , (0 , -2)}

17. Function
A function is a special type of relation that pairs each domain value with exactly one range value. field trip Give the domain and Range of the relation and determine whether it is a function? D:{75, 68, 125} R:{2, 3} Function? Yes, each Domain is paired with exactly on range value
Students (x)
buses (y) 75 2 68
125 3

18. Function
Give the domain and range of the relation. Determine whether the relation is a function.
D:{7, 9, 12, 15} R:{-7, -1, 0}
Function? NO – the domain 7 is paired with -1 and 0 7 9 12 15 -7 -1

19. Function – “We Do”
Give the domain and range of each relation and determine whether the relation is a function
{(8 , 2), (-4 , 1) , (-6 , 2) , (1 , 9)}
D:{ } R: { }
Function?_____
D:{ } R:{ }
Function? _______ 44 4 3 2 -5 -4 -3

20. determining whether a relation is a function by the graph
You can determine whether a graphed relation is a function by a vertical line test. If you can draw a vertical line through anywhere on the graph, and it crosses the graph more than once …………It is NOT a function

21. Exit slip
Express the relation as a table, graph and a mapping diagram.
{(-2 , -4) , (-1 , -1) , (0 , 0) , (1 , -1) , (2 , -4)}
Is this relation a function?