Transcript coordinate plane

COORDINATE
PLANE
x-axis
y-axis
(-, +)
COORDINATE
PLANE
QUADRANTS
II
(+, +)
I
III IV
(-, -)
(+, -)
COORDINATE
PLANE
GRAPHING
Coordinates of point A is
(-2, 4)
A
THE COORDINATE PLANE
Points in the coordinate plane are named by
ordered pairs of the form (x, y)
The first number, or x-coordinate,
corresponds to the numbers on the x-axis.
The second number, or y-coordinate,
corresponds to the numbers on the y-axis.
COORDINATE
PLANE
NAME THESE
POINTS
(2, 4)
A
COORDINATE
PLANE
NAME THESE
POINTS
(-1, -2)
B
COORDINATE
PLANE
NAME THESE
POINTS
(-4, 0)
C
COORDINATE
PLANE
NAME THESE
POINTS
(0, 3)
D
RELATIONS
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
A table
A graph
An equation
A mapping
RELATIONS
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
A table
A graph
An equation
A mapping
{(2, 3), (-5, 2), (3, 3)}
RELATIONS
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
A table
A graph
An equation
A mapping
x
3
2
1
y
5
-4
0
RELATIONS
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
A table
A graph
An equation
A mapping
RELATIONS
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
A table
A graph
An equation
A mapping
y = 2x - 3
RELATIONS
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
y
x
A table
-1
A graph
2
3
An equation
A mapping
5
7
RELATIONS
Recall from Chapter 1,
that in a relation…
The DOMAIN is the set of all first
numbers of the ordered pairs.
The RANGE is the set of all second
numbers of the ordered pairs.
RELATIONS
For the relation {(2, 5), (4, -2), (4, 0)}
The DOMAIN is {2, 4}
Do not repeat elements in a set.
The RANGE is {-2, 0, 5}
Write sets in numerical order
RELATIONS
An INVERSE RELATION is obtained
by switching the coordinates of each
ordered pair.
The inverse of {(5, 3), (6, -2), (5, 5)}
is {(3, 5), (-2, 6), (5, 5)}
RELATIONS
Change the following to a mapping:
{(5, 3), (6, -2), (5, 5)}
x
5
6
y
-2
3
5