# Sec-26 - Math 1300 Section 2.6 Notes Functions and Domains...

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Math 1300 Section 2.6 Notes 1 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 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 Y X 3. Tables: 4. Mappings: X Y -3 -1 -2 1 -1 1 1 3 3 1 3 2 0 3

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Math 1300 Section 2.6 Notes 2 Definition : The ______________ of a relation is the set of all the first elements (the x -values or x -coordinates) in the ordered pairs. Definition: The ______________ of a relation is the set of all the second elements (the y -values or y -coordinates) in the ordered pairs. Definition: A __________________ 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. Definition:
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Sec-26 - Math 1300 Section 2.6 Notes Functions and Domains...

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