1300_F2011_Sec_26-big-filled

1300_F2011_Sec_26-big-filled - Math 1300 Section 2.6...

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Math 1300 Section 2.6 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:
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Math 1300 Section 2.6 2 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 3 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: Two elements are _________________ if and only if whenever one relation contains the element ( a , b ), the other relation contains the element ( b , a ). In the equation y = f ( x ), the symbol f ( x ) is read “f of x” and is the value of the function f at the number x . The
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