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Page 1: COORDINATE PLANE x-axisy-axis. COORDINATE PLANE QUADRANTS III III IV (+, +)(-, +) (-, -)(+, -)

COORDINATE PLANE

x-axis

y-axis

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COORDINATE PLANE

QUADRANTS

III

III IV

(+, +)(-, +)

(-, -) (+, -)

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COORDINATE PLANE

GRAPHING

Coordinates of point A is

(-2, 4)

A

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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.

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COORDINATE PLANE

NAME THESE POINTS

(2, 4)

A

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COORDINATE PLANE

NAME THESE POINTS

(-1, -2)

B

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COORDINATE PLANE

NAME THESE POINTS

(-4, 0)

C

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COORDINATE PLANE

NAME THESE POINTS

(0, 3)

D

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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

Page 10: COORDINATE PLANE x-axisy-axis. COORDINATE PLANE QUADRANTS III III IV (+, +)(-, +) (-, -)(+, -)

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)}

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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

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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

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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

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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

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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

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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

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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)}

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RELATIONS

Change the following to a mapping:

{(5, 3), (6, -2), (5, 5)}

x y

56

-235

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