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Exercise 11

Avg difficulty 2.5

Give an explicit formula for a function from the set of integers to the set of positive integers that is

  1. injective but not surjective
  2. surjective but not injective
  3. injective and surjective
  4. neither injective nor surjective

Hammond, Discrete Math for Shockers, §1.3 Relations and Functions, Exercise 11

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.