one-to-one

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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Discrete Math

1.
a) Provide an example of a function f : Z → Z which is one-to-one and maps surjectively
onto all of Z.
b) Provide an example of a function f : Z → Z which maps surjectively onto Z but is not
one-to-one.
c) Provide an example of a function f : Z → Z which is neither one-to-one nor surjective.
Transcribed Image Text:1. a) Provide an example of a function f : Z → Z which is one-to-one and maps surjectively onto all of Z. b) Provide an example of a function f : Z → Z which maps surjectively onto Z but is not one-to-one. c) Provide an example of a function f : Z → Z which is neither one-to-one nor surjective.
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