Precalc0101to0102-page3

Precalc0101to0102-page3 - f . Unless otherwise specified,...

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(Section 1.1: Functions) 1.1.2 PART B: RELATIONS A relation is a set of ordered pairs of the form input, output () , where the input is related to (“yields”) the output . WARNING 2 : If a is related to b , then b may or may not be related to a . Example 1 (A Relation) Let the relation R = 1, 5 () , ± ,5 () ,5 , 7 () {} . 1, 5 () ± R , so 1 is related to 5 by R Likewise, ± is related to 5, and 5 is related to 7. R can be represented by the arrow diagram below. § PART C: FUNCTIONS A relation is a function ± Each input is related to (“yields”) exactly one
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Unformatted text preview: f . Unless otherwise specified, we assume that f represents a function. The domain of a function f is the set of all inputs . It is the set of all first coordinates of the ordered pairs in f . We will denote this by Dom f ( ) , although this is not standard. The range of a function f is the set of all resulting outputs . It is the set of all second coordinates of the ordered pairs in f . We will denote this by Range f ( ) . We assume both sets are nonempty. (See Footnote 1 on terminology.)...
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This document was uploaded on 12/29/2011.

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