1300_section2o6

1300_section2o6 - Section 2.6 Functions and Domains...

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1 Section 2.6 - Functions and Domains Definition: A relation in mathematics is a set of one or more ordered pairs. It can be described by: 1. A set of ordered pairs: {(-3, -1), (-2, 1), (-1, 1), (1, 3), (3, 1), (3, 2), (0, 3)} 2. Graphs: 3. Tables: 4. Mappings: x y -3 -1 -2 1 -1 1 1 3 3 1 3 2 0 3

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2 The DOMAIN of a relation is the set of all the first elements (the x -values or x -coordinates) in the ordered pairs. The RANGE of a relation is the set of all the second elements (the y -values or y -coordinates) in the ordered pairs. A FUNCTION is a special relation in which each element, x , of the domain is paired with exactly (only) one element, called f ( x ), of the range. One way to test a relation to see if it is a function is by using the vertical line test. 1. Is the given relation a function? a) { } ) 4 , 3 ( ), 5 , 2 ( ), 1 , 1 ( - Domain: Range: b) { } ) 2 , 3 ( ), 5 , 4 ( ), 2 , 1 ( Domain: Range: c) { } ) 2 , 4 ( ), 5 , 4 ( ), 2 , 1 ( d) { } ) 4 , 4 ( ), 0 , 0 ( ), 1 , 1 ( In the equation
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This note was uploaded on 02/20/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.

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1300_section2o6 - Section 2.6 Functions and Domains...

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