# 5-1 The Coordinate Plane

Happy Wednesday!

Organize binders (move notes to old notes)

New Homework Stamp Log 

Warm up: create a circle map of a coordinate plane

Coordinate

Plane

### 5-2 Relations

Objective: To graph and identify the graph of ordered pairs.

Standard 18.0

Vocabulary

 x-axis : the horizontal number line of a coordinate plane

 y-axis : the vertical number line of a coordinate plane

 origin : where the two axis intersect at the zeros

 quadrant : the four sections of a coordinate plane

 x-coordinate : the x component of an ordered pair

 y-coordinate : the y component of an ordered pair

 ordered pair : a point that can be plotted on a coordinate plane

 coordinate plane : the plane containing the x- and y- axis

Picture – coordinate plane y-axis origin x-axis

How to plot points

( x , y )

Right (+)

Left (-)

Up (+)

Down (-)

(1,2) (0,4)

(-3,6)

(-1,-2)

(-3,0)

(5,-2)

E

A

B

C

F D

D:

E:

F:

A:

B:

C:

(-1,2)

(2,1)

(4,0)

(6,-2)

(-4,-3)

(0,-2)

## 5-2 Relations

Objective: To show relations as a set of ordered pairs, tables, mappings, and graphs. To state the domain, range and inverse of a relation.

Relation – Example 1

 Relation : set of ordered pairs

 4 different ways to represent a relation

1) ordered pairs

{(-3,3) (-1,2) (1,1) (1,3)

(3,-2) (4,-2)} x y

2) table

-3 3

-1 2

1 1

1 3

3 -2

4 -2

= set notation

3) graph 4) map x y

1

3

-3

-1

4

3

2

1

-2

*Do not duplicate numbers!

TOyOta

Given the relation in the graph, write as a set of ordered pairs, a table, and a mapping.

Ordered pairs:

{(5,0) (4,5) (-3,2) (-5,-3) (0,-3) (4,-5)}

Table

Mapping x y

5 0

4 5

-3 2

-5 -3

0 -3

4 -5

5

4

-3

-5

0

0

5

2

-3

-5

Look at Example 1

(-3,3) (-1,2) (1,1) (1,3) (3,-2) (4,-2)

 Domain: all x values

(not repeated)

-3, -1, 1, 3, 4

 Range: all y values

(not repeated)

3, 2, 1, -2

 Inverse: switch the x ’ s and y ’ s for each ordered pair

(3,-3) (2,-1) (1,1) (3,1) (-2,3) (-2,4)

Look at the TOyOta

Find the domain, range and inverse.

Domain:

Range:

5, 4, -3, -5, 0

0, 5, 2, -3, -5

Inverse:

(0,5) (5,4) (2, -3) (-3,-5) (-3,0) (-5,4)

What happens to the domain and range after you take the inverse?

They switch

Homework

 Pg. 267# 17-37 ODD

 Read the directions carefully 

Math Lab Warm up

Find three consecutive odd integers whose sum is 153.

Two planes leave long beach at the same time but travel in opposite directions. One plane averages 340 miles per hour and the other 660 miles per house. In how many hours will it be before the two planes are 6000 miles apart?

Relation – Example 1

Relation : set of ordered pairs

4 different ways to represent a relation

1) ordered pairs 2) table x y

{(-2,0) (-1,5) (-1,3)

(1,5) (3,-2) (2,0)}

= set notation

3) graph 4) map x y

*Do not duplicate numbers!

Example 1 continued:

 Domain:

 Range:

 Inverse: