Transcript 1-6 Relations Goals: Represent relations as tables, ordered pairs, graphs and mappings. Eligible Content:  A1.2.1.1.2 / A1.2.1.1.3 / A1.2.1.2.1 / A1.2.1.2.2

1-6 Relations
Goals:
Represent relations as tables, ordered pairs, graphs
and mappings.
Eligible Content:
 A1.2.1.1.2 / A1.2.1.1.3 / A1.2.1.2.1 / A1.2.1.2.2
Vocabulary

Coordinate Plane – two real number
lines that intersect at a right angle.
y - axis
origin
x - axis
Vocabulary

Axes – the horizontal and vertical
number lines on a coordinate plane

x-axis – the horizontal number line

y-axis – the vertical number line

Origin – where the two axes meet (0,0)
Vocabulary

Quadrants – The four regions into which
the x- and y-axes separate the coordinate
plane.
II
I
III
IV
Vocabulary

Ordered Pair – each point in the plane.
Also called coordinates.

x – coordinate – the first number in the
ordered pair.

y – coordinate – the second number in
the ordered pair.
Plotting Points
A (4, 5)
B (-2, 3)
C (0, -3)
D (4, -1)
A
B
D
C
Plot each point and tell which
quadrant it lies in.
A (4, 5)
B (-6, 3)
C (-5, -4)
D (7, -5)
E (0, 4)
F (7, -2)
G (-8, -4)
H (-3, 0)
Tell the Coordinates!!
A
C
H
G
D
E
F
B
Vocabulary

Relation – any set of ordered pairs.

Domain – set of the first numbers of the
ordered pair. (x values)

Range – set of the second numbers of
the ordered pair. (y values)
Different Looks of Relations

Table

Mapping

Ordered Pairs

Graph
Table
x
y
0
3
1
5
2
7
3
9
Mapping
2
4
6
8
5
3
2
8
Ordered Pairs
{(2,4),(3,6),(4,8),(5,10)}
Graph
Examples
Express each relation as a table, graph and
mapping.
1. {(4, 3),(-2, -1),(2, -4),(0, -4)}
2.
{(-2, 6),(5, 2),(-3, 8),(4, -2)}
Express the relation {(3, –2), (4, 6), (5, 2), (–1, 3)}
as a mapping.
A.
C.
B.
D.
Examples
Determine the domain and range of each
relation.
1. {(4, 3),(-2, -1),(2, -4),(0, -4)}
2.
{(-2, 6),(5, 2),(-3, 8),(4, -2)}
Determine the domain and range of the relation
{(3, –2), (4, 6), (5, 2), (–1, 3)}.
A. D = {–1, 3, 4, 5}; R = {–2, 2, 3, 6}
B. D = {–2, 2, 3, 6}; R = {–1, 3, 4, 5}
C. D = {–1, 3}; R = {–2, 2}
D. D = {4}; R = {4}
Practice

Page 43 #1 & 2
Homework

Pages 43-44 #10-14 even
#21, 22, 24, 25
#27-31