Consider the set M = {0, 2, 4, 6} and N = {1, 3, 5, 7}. Determine if each of the following ordered pairs is a function with domain M and codomain N. If you state it is a function, then determine if it is one-to-one and/or onto. {(0,2), (2,4), (4,6), (6,0)}{(6,3), (2,1), (0,3), (4,5)}{(2,3), (4,7), (0,1), (6,5)} {(2,1), (4,5), (6,3)}{(6,1), (0,3), (4,1), (0,7), (2,5)}

According to guideline we need to solve first 3 subparts.

Answered: Consider the set M = {0, 2, 4, 6} and N…

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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Consider the set M = {0, 2, 4, 6} and N = {1, 3, 5, 7}. Determine if each of the following ordered pairs is a function with domain M and codomain N. If you state it is a function, then determine if it is one-to-one and/or onto.

1. {(0,2), (2,4), (4,6), (6,0)}
  
  {(6,3), (2,1), (0,3), (4,5)}
  
  {(2,3), (4,7), (0,1), (6,5)}
  
  {(2,1), (4,5), (6,3)}
  
  {(6,1), (0,3), (4,1), (0,7), (2,5)}

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