DECide whether each of the föllowing functions is injective and/or surjective.f:Z-Z defined by f(n) = n.Of is injective but not surjectiveOf is surjective but not injectiveOf is both injective and surjectiveOf is neither injective nor surjective.g: ZxZ-ZxZ defined by f(m, n) = (2m, m + n).Og is injective but not surjectiveOg is surjective but not injectiveOg is both injective and surjectiveOg is neither injective nor surjective.h:N-N defined byh(n) = the sum of the digits of n.Ohis injective but not surjectiveOhis surjective but not injective

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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lether each of the following functions is inje f:Z-Z defined by f(n) = n. Of is injective but not surjective Of is surjective but not injective Of is both injective and surjective Of is neither injective nor surjective.