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Specify a codomain for each of the functions in Exercise

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 18E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 18E

Specify a codomain for each of the functions in Exercise 16. Under what conditions is each of these functions with the codomain you specified onto?EXERCISE 16: Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or hera) mobile phone number.b) student identification number.c) final grade in the class.d) home town.

Step-by-Step Solution:

SOLUTIONStep 1 We have to specify the codomain for each of the function given in the exercise,and we have to check under what condition this function is onto.Step 2a)Codomain : All ten digit positive integers .This function is not onto.If we consider, collection of all phone numbers assigned to each students in a class, then the function is onto.b) Co domain : set of natural numbers. If we choose a collection of all identification numbers...

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Chapter 2.3, Problem 18E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Specify a codomain for each of the functions in Exercise

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