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Objectives The student will be able to: 1. identify the domain and range of a relation. 2. show relations as sets and mappings. SOL: A.7bf Designed by Skip Tyler, Varina High School

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How about some more definitions? The domain is the set of 1st coordinates of the ordered pairs. The range is the set of 2nd coordinates of the ordered pairs. A relation is a set of ordered pairs.

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Given the relation {(3,2), (1,6), (-2,0)}, find the domain and range. Domain = {3, 1, -2} Range = {2, 6, 0}

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What would this be? {(2,4), (3,-1), (0,-4)} A bad relationship!! Ha! Ha!

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The relation {(2,1), (-1,3), (0,4)} can be shown by 1) a table. 2) a mapping. 3) a graph. xy 2 0 134134 2 0 134134

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Given the following table, show the relation, domain, range, and mapping. x-1047 y36-13 Relation = {(-1,3), (0,6), (4,-1), (7,3)} Domain = {-1, 0, 4, 7} Range = {3, 6, -1, 3}

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Mapping x-1047 y36-13 You do not need to write 3 twice in the range! 0 4 7 3 6

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What is the domain of the relation {(2,1), (4,2), (3,3), (4,1)} 1.{2, 3, 4, 4} 2.{1, 2, 3, 1} 3.{2, 3, 4} 4.{1, 2, 3} 5.{1, 2, 3, 4} Answer Now

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What is the range of the relation {(2,1), (4,2), (3,3), (4,1)} 1.{2, 3, 4, 4} 2.{1, 2, 3, 1} 3.{2, 3, 4} 4.{1, 2, 3} 5.{1, 2, 3, 4} Answer Now

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Inverse of a Relation: For every ordered pair (x,y) there must be a (y,x). Write the relation and the inverse. Relation = {(-1,-6), (3,-4), (3,2), (4,2)} Inverse = {(-6,-1), (-4,3), (2,3), (2,4)} 3 4 -6 -4 2

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Write the inverse of the mapping. -3 4 3 2 1.{(4,-3),(2,-3),(3,-3),(-1,-3)} 2.{(-3,4),(-3,3),(-3,-1),(-3,2)} 3.{-3} 4.{-1, 2, 3, 4} Answer Now

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4-3 Relations Objective: Students will represent relations as sets of ordered pairs, tables, mappings, and graphs. Students will find the inverse of a.

4-3 Relations Objective: Students will represent relations as sets of ordered pairs, tables, mappings, and graphs. Students will find the inverse of a.

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