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mac1140_lecture13_1

# mac1140_lecture13_1 - L13 3.1 Relations and the Rectangular...

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106 L13 §3.1 Relations and the Rectangular Coord ina te Sy s tem ; C irc le s An ordered pair is given as ( , ) x y . Definition . A set of ordered pairs is called a relation . The domain of a relation is the set of all first elements in the ordered pairs { } x . The range is the set of all possible second elements { } y . Example . Relation: ( ) ( ) ( ) ( ) { } 1 ,2,3 ,1,0 ,2, 1 , 4 −− . Doma in : Range : The Rectangular Coordinate System the x axis and the y axis together. The plane with the rectangular coordinate system is called the coordinate plane or xy - plane . This plane has four quadrants: The graph of a relation is the set of all points in the xy - plane that correspond to the ordered pairs of the relation.

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107 Example . Find the domain and range of each relation. a) 2 yx =− b) 27 xy Example . Consider 3 1 = + . Find three ordered pairs. Plot the graph. Give the domain and range.
108 Distance Formula on the Plane : Let 11 (, ) P xy and 22 ) Qx y be two points in a coordinate plane. Then the distance between P and Q , ( ) , dPQ , is given by: () ( ) ( ) 21 , x x yy =− + Example :

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mac1140_lecture13_1 - L13 3.1 Relations and the Rectangular...

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