RELATIONS Section 1.6. Coordinate Plane X- coordinate: represents horizontal placement Y-coordinate: represents vertical placement Origin: (0,0) Points:

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Presentation transcript:

RELATIONS Section 1.6

Coordinate Plane X- coordinate: represents horizontal placement Y-coordinate: represents vertical placement Origin: (0,0) Points: (x, y) = (rt/left, up/down)

Plot the following points: A (-4, 1) B (0, -5) C (-2, -3) D (5, -1) E (3, 0) F (2, 1)

Give the coordinates for the following points:

Relation A set of ordered pairs. Can be represented in several ways: Equation Graph Table Mapping

Illustrates how each element of the domain is paired with an element of the range. Domain: 1 st number in the ordered pair (x) Range: 2 nd number in the ordered pair (y) (-2, 1), (-1, 4), (3, 4), (2, 5 ) DomainRange

Different representations of the same relation: Ordered PairsTable GraphMapping (4,1) (-2, 3) (-1,-2)

Different representations of the same relation: Ordered PairsTable GraphMapping

Different representations of the same relation: Ordered PairsTable GraphMapping

Different representations of the same relation: Ordered PairsTable GraphMapping

Independent Variable The variable that determines the output In an ordered pair….it is the x variable (domain)

Dependent Variable The output variables – depend on the x variable In an ordered pair….it is the y variable (range)

Identify the independent & dependent variables: The dance committee is selling tickets to the Fall Ball. The more tickets that they sell, the greater the amount of money they can spend for decorations.

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Identify the independent & dependent variables: The air pressure inside a tire increases with the temperature.

Identify the independent & dependent variables: As the amount of rain decreases, so does the water level of the river.

Describe what is happening:

Classwork Match the graphs with the correct story

Homework Worksheet