Find the domain and range of these functions.a) the

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

Problem 6E 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 6E

Find the domain and range of these functions.

a) the function that assigns to each pair of positive integers the first integer of the pair

b) the function that assigns to each positive integer its largest decimal digit

c) the function that assigns to a bit string the number of ones minus the number of zeros in the string

d) the function that assigns to each positive integer the largest integer not exceeding the square root of the integer

e) the function that assigns to a bit string tie longest string of ones in the string

Step-by-Step Solution:
Step 1 of 3

Step1

Given that

We have to find that the domain and range of  functions.

Step2

a) the function that assigns to each pair of positive integers the first integer of the pair.

 We can write the function as

Therefore, the domain is  and the range is

Step3

b) the function that assigns to each positive integer its largest decimal digit.

 We can write the function as

Therefore, the domain is  and the range is

Step4

c) the function that assigns to a bit string the number of ones minus the number of zeros in the...

Step 2 of 3

Chapter 2.3, Problem 6E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7th
Author: Kenneth Rosen
ISBN: 9780073383095

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