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# Solved: Find the domain and range of these functions.a)

ISBN: 9780073383095 37

## Solution for problem 7E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 7E

Find the domain and range of these functions.

a) the function that assigns to each pair of positive integers the maximum of these two integers

b) the function that assigns to each positive integer the number of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 that do not appear as decimal digits of the integer

c) the function that assigns to a bit string the number of times the block 11 appears

d) the function that assigns to a bit string the numerical position of the first 1 in the string and that assigns the value 0 to a bit string consisting of all 0s

Step-by-Step Solution:

Step 1</p>

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

a) Step 2</p>

We have to find the domain of the function, that assigns to each pair of positive integers the maximum of these two.

Domain  : The set of  pairs of positive integers that is,

Codomain : The codomain is

b) Step 3</p>

Next we find the domain of function, which assigns to each positive integer the number of digits 0,1,2,3,4,5,6,7,8,9 that do not appear as decimal digits of the integer.

Domain : Set of positive integers

Co domain : Set of natural numbers.

c)

Step 4 of 5

Step 5 of 5

##### ISBN: 9780073383095

The answer to “Find the domain and range of these functions.a) the function that assigns to each pair of positive integers the maximum of these two integers________________b) the function that assigns to each positive integer the number of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 that do not appear as decimal digits of the integer________________c) the function that assigns to a bit string the number of times the block 11 appears________________d) the function that assigns to a bit string the numerical position of the first 1 in the string and that assigns the value 0 to a bit string consisting of all 0s” is broken down into a number of easy to follow steps, and 105 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 7E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: assigns, string, function, bit, Integer. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 7E from 2.3 chapter was answered, more than 387 students have viewed the full step-by-step answer.

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