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Below are three functions with their domains and codomains specified. For each one, classify it as Injective but not surjective, Surjective but not injective, Neither injective nor surjective, or Bijective. If a function does have a property you do not have to explain why; but if a function fails to have a property, you should explain why in as specific of terms as possible. (Do not just state the definition of the property or give a vague reinterpretation of that definition, but refer to specific elements or other characteristics.) a.) f:Z→Z given by f(a)=a−1 b.)g:N→N given by g(a)=a2 c.) The mapping hh from the set of all lists of integers (such as [7,3,-2,10]) to Z that takes the list and returns the first element in the list. For example h([7,3,−2,10])=7

Below are three functions with their domains and codomains specified. For each one, classify it as Injective but not surjective, Surjective but not injective, Neither injective nor surjective, or Bijective. If a function does have a property you do not have to explain why; but if a function fails to have a property, you should explain why in as specific of terms as possible. (Do not just state the definition of the property or give a vague reinterpretation of that definition, but refer to specific elements or other characteristics.) a.) f:Z→Z given by f(a)=a−1 b.)g:N→N given by g(a)=a2 c.) The mapping hh from the set of all lists of integers (such as [7,3,-2,10]) to Z that takes the list and returns the first element in the list. For example h([7,3,−2,10])=7

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 7CA
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Below are three functions with their domains and codomains specified. For each one, classify it as

  • Injective but not surjective,
  • Surjective but not injective,
  • Neither injective nor surjective, or
  • Bijective.

If a function does have a property you do not have to explain why; but if a function fails to have a property, you should explain why in as specific of terms as possible. (Do not just state the definition of the property or give a vague reinterpretation of that definition, but refer to specific elements or other characteristics.)

a.) f:Z→Z given by f(a)=a−1

b.)g:N→N given by g(a)=a2

c.) The mapping hh from the set of all lists of integers (such as [7,3,-2,10]) to Z that takes the list and returns the first element in the list. For example h([7,3,−2,10])=7

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