Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.3 - Functions - Exercises - Page 152: 2

Answer

a) not a function b) is a function c) is not a function

Work Step by Step

a)This is not a function because the rule is not well-defined. We do not know whether f (n) = n or f (n) = n.F or a function, it cannot be both at the same time. b)This is a function. F or all integers n, f gives a well-defined real number c)This is not a function with domain Z, since for n = 2 and n = 2 the value of f (n) is not defined by the given rule. In other words, f (2) and f ( 2) are not specified since division by 0 makes no sense.
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