one-to-one

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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