Lesson20 - MA 15200 Lesson 20 Section 2.1 A relation is any...

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1 MA 15200 Lesson 20 Section 2.1 A relation is any set of ordered pairs. The set of all first components of the ordered pairs is called the domain . The set of all second components is called the range. Relations can be represented by tables, sets, equations of two variables, or graphs. Name % of all Names Smith 1.006% Johnson 0.810% Williams 0.699% Brown 0.621% Jones 0.621% Ex 1: Find the domain and range of each relation. a) {(2, 3),(3, 4),(4, 5),(5, 5),(2, 6)} - - - - - A relation in which each member of the domain corresponds to exactly one member of the range is a function . The table above that pairs a last name with a percent of all names is a function because each last name is paired to exactly one percent. Another way to identify a function is the following, it is a relation in which no two ordered pairs have the same first component and different second components. Definition of a Function A function is a correspondence from a first set, called the domain , to a second set, called the range , such that each element in the domain corresponds to exactly one element in the range. If the table was changed as below, the relation is not a function. The percent 0.621% would be paired with both Brown and Jones. % of all Names
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Lesson20 - MA 15200 Lesson 20 Section 2.1 A relation is any...

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