# Give an explicit formula for a function from the set of

## Problem 21E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 21E

an explicit formula for a function from the set of integers to the set of positive integers that isa) one-to-one, but not onto.________________b) onto, but not one-to-one.________________c) one-to-one and onto.________________d) neither one-to-one nor onto.

Step-by-Step Solution:

Solution:Step 1 :We have to formulate explicit formula for a function from the set of integers to the set of positive integers.Step 2:(a) Ans ; explicit formula for this function is if and It is one to one because non negative number map to even number, starting with 2,negative number map to odd number starting with 3.It is not onto since 1 is not the image of any integer. Step 3 :(b) Ans : explicit formula for this function isIt is onto because i is the image of ,it is not one-to-one because

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##### ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. The answer to “an explicit formula for a function from the set of integers to the set of positive integers that isa) one-to-one, but not onto.________________b) onto, but not one-to-one.________________c) one-to-one and onto.________________d) neither one-to-one nor onto.” is broken down into a number of easy to follow steps, and 34 words. The full step-by-step solution to problem: 21E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: onto, set, integers, neither, function. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 21E from 2.3 chapter was answered, more than 274 students have viewed the full step-by-step answer.

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