Download - COORDINATE PLANE x-axisy-axis. COORDINATE PLANE QUADRANTS III III IV (+, +)(-, +) (-, -)(+, -)
COORDINATE PLANE
x-axis
y-axis
COORDINATE PLANE
QUADRANTS
III
III IV
(+, +)(-, +)
(-, -) (+, -)
COORDINATE PLANE
GRAPHING
Coordinates of point A is
(-2, 4)
A
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 COORDINATE PLANE
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
A RELATION is a set of ordered pairs
A relation can be represented by:A set of ordered pairs
RELATIONS
A tableA graphAn equationA mapping
A RELATION is a set of ordered pairs
A relation can be represented by:
A set of ordered pairs
RELATIONS
A tableA graphAn equationA mapping
{(2, 3), (-5, 2), (3, 3)}
A RELATION is a set of ordered pairs
A relation can be represented by:A set of ordered pairs
RELATIONS
A tableA graphAn equationA mapping
x 3 2 1
y 5 -4 0
A RELATION is a set of ordered pairs
A relation can be represented by:A set of ordered pairs
RELATIONS
A tableA graphAn equationA mapping
A RELATION is a set of ordered pairs
A relation can be represented by:A set of ordered pairs
RELATIONS
A tableA graphAn equationA mapping
y = 2x - 3
A RELATION is a set of ordered pairs
A relation can be represented by:A set of ordered pairs
RELATIONS
A tableA graphAn equation
A mapping
x y-135
27
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}
The RANGE is {-2, 0, 5}
RELATIONS
Do not repeat elements in a set.Do not repeat elements in a set.
Write sets in numerical orderWrite 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 y
56
-235