COORDINATE PLANE x-axisy-axis. COORDINATE PLANE QUADRANTS III III IV (+, +)(-, +) (-, -)(+, -)

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Presentation transcript:

COORDINATE PLANE x-axisy-axis

COORDINATE PLANE QUADRANTS III III IV (+, +)(-, +) (-, -)(+, -)

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 table A graph An equation A mapping

A RELATION is a set of ordered pairs A relation can be represented by: A set of ordered pairs RELATIONS A table A graph An equation A 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 table A graph An equation A mapping x321 y5-40

A RELATION is a set of ordered pairs A relation can be represented by: A set of ordered pairs RELATIONS A table A graph An equation A mapping

A RELATION is a set of ordered pairs A relation can be represented by: A set of ordered pairs RELATIONS A table A graph An equation A 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 table A graph An equation A mapping x y

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. 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 y