relations section 1.6. coordinate plane x- coordinate: represents horizontal placement y-coordinate:...
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RELATIONSSection 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
Mapping• Illustrates how each element of the domain is paired with
an element of the range.
• Domain: 1st number in the ordered pair (x)• Range: 2nd number in the ordered pair (y)
(-2, 1), (-1, 4), (3, 4), (2, 5)
Domain Range
-2-132
145
Different representations of the same relation:
Ordered Pairs Table
Graph Mapping
(4,1)(-2, 3)(-1,-2)
Different representations of the same relation:
Ordered Pairs Table
Graph Mapping
x y4 35 21 -12 2
Different representations of the same relation:
Ordered Pairs Table
Graph Mapping
Different representations of the same relation:
Ordered Pairs Table
Graph Mapping
-4 0 1 2 5
-2-124
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.
Identify the independent & dependent variables:
• Generally, the average price of going to the movies has steadily increased over time.
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:
Describe what is happening:
Describe what is happening:
Describe what is happening:
Describe what is happening:
Describe what is happening:
Describe what is happening:
Classwork• Match the graphs with the correct story
Homework• Worksheet