a Answer Relation= { ( 13264 , 4184 ) , ( 27954 , 4412 ) , ( 21484 , 6366 ) , ( 23117 , 3912 ) , ( 16849 , 2415 ) , ( 19563 , 5982 ) , ( 17284 , 6949 ) } Domain= { 13264 , 16849 , 17284 , 19563 , 21484 , 23117 , 27954 , 6949 } Range= { 2415 , 3912 , 4184 , 4412 , 5982 , 6366 } Explanation Given information: University Number of students applied Number of students attending Auburn University 13264 4184 University of California-Davis 27954 4412 University of Illinois-Urbana-Champaign 21484 6366 University of Maryland-College Park 23117 3912 State University of New York-Stony Brook 16849 2145 The Ohio State university 19563 5982 Texas A&M University 17284 6949 Calculation: Let the number of students applied be x and the number of students attending be y. So the table for variables will be as follows: Number of students applied (x) Number of students attending (y) 13264 4184 27954 4412 21484 6366 23117 3912 16849 2145 19563 5982 17284 6949 From the table, the set of ordered pairs of the relation in (x, y) is as follows: { ( 13264 , 4184 ) , ( 27954 , 4412 ) , ( 21484 , 6366 ) , ( 23117 , 3912 ) , ( 16849 , 2415 ) , ( 19563 , 5982 ) , ( 17284 , 6949 ) } Since all the possible values of x is a domain. So, the domain value is shown below. { 13264 , 16849 , 17284 , 19563 , 21484 , 23117 , 27954 , 6949 } . All the possible values of y represent the range. So, the range is as follows: { 2415 , 3912 , 4184 , 4412 , 5982 , 6366 } b To determine To represent: the graphical relation. Answer Explanation Given information: Number of students applied (x) Number of students attending (y) 13264 4184 27954 4412 21484 6366 23117 3912 16849 2145 19563 5982 17284 6949 Calculation: From the table, the set of ordered pairs of the relation in (x, y) is as follows: { ( 13264 , 4184 ) , ( 27954 , 4412 ) , ( 21484 , 6366 ) , ( 23117 , 3912 ) , ( 16849 , 2415 ) , ( 19563 , 5982 ) , ( 17284 , 6949 ) } Plotting these values on graph we get a relation as follows: c. To determine whether the relation is a function along with an explanation. Answer This relation is a function because no two set of ordered pairs have same first element. Explanation Given information: University Number of students applied Number of students attending Auburn University 13264 4184 University of California-Davis 27954 4412 University of Illinois-Urbana-Champaign 21484 6366 University of Maryland-College Park 23117 3912 State University of New York-Stony Brook 16849 2145 The Ohio State university 19563 5982 Texas A&M University 17284 6949 Calculation: From the table, the set of ordered pairs of the relation in (x, y) is as follows: { ( 13264 , 4184 ) , ( 27954 , 4412 ) , ( 21484 , 6366 ) , ( 23117 , 3912 ) , ( 16849 , 2415 ) , ( 19563 , 5982 ) , ( 17284 , 6949 ) } Since, the no two set of ordered pairs have same first element. Hence, this relation is a function.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 1.1, Problem 52E

To determine

To find: set of ordered pairs, domain and range of the relation from the provided data.

Expert Solution

Answer to Problem 52E

Relation= {(13264,4184),(27954,4412),(21484,6366),(23117,3912),(16849,2415),(19563,5982),(17284,6949)} Domain= {13264,16849,17284,19563,21484,23117,27954,6949}

Range= {2415,3912,4184,4412,5982,6366}

Explanation of Solution

Given information:

University	Number of students applied	Number of students attending
Auburn University	13264	4184
University of California-Davis	27954	4412
University of Illinois-Urbana-Champaign	21484	6366
University of Maryland-College Park	23117	3912
State University of New York-Stony Brook	16849	2145
The Ohio State university	19563	5982
Texas A&M University	17284	6949

Calculation:

Let the number of students applied be x and the number of students attending be y. So the table for variables will be as follows:

Number of students applied (x)	Number of students attending (y)
13264	4184
27954	4412
21484	6366
23117	3912
16849	2145
19563	5982
17284	6949

From the table, the set of ordered pairs of the relation in (x, y) is as follows:

{(13264,4184),(27954,4412),(21484,6366),(23117,3912),(16849,2415),(19563,5982),(17284,6949)}

Since all the possible values of x is a domain. So, the domain value is shown below.

{13264,16849,17284,19563,21484,23117,27954,6949} .

All the possible values of y represent the range. So, the range is as follows:

{2415,3912,4184,4412,5982,6366}

To determine

To represent: the graphical relation.

Expert Solution

Answer to Problem 52E

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 1.1, Problem 52E , additional homework tip 1

Explanation of Solution

Given information:

Number of students applied (x)	Number of students attending (y)
13264	4184
27954	4412
21484	6366
23117	3912
16849	2145
19563	5982
17284	6949

Calculation:

From the table, the set of ordered pairs of the relation in (x, y) is as follows:

{(13264,4184),(27954,4412),(21484,6366),(23117,3912),(16849,2415),(19563,5982),(17284,6949)}

Plotting these values on graph we get a relation as follows:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 1.1, Problem 52E , additional homework tip 2

To determine

whether the relation is a function along with an explanation.

Expert Solution

Answer to Problem 52E

This relation is a function because no two set of ordered pairs have same first element.

Explanation of Solution

Given information:

University	Number of students applied	Number of students attending
Auburn University	13264	4184
University of California-Davis	27954	4412
University of Illinois-Urbana-Champaign	21484	6366
University of Maryland-College Park	23117	3912
State University of New York-Stony Brook	16849	2145
The Ohio State university	19563	5982
Texas A&M University	17284	6949

Calculation:

From the table, the set of ordered pairs of the relation in (x, y) is as follows:

{(13264,4184),(27954,4412),(21484,6366),(23117,3912),(16849,2415),(19563,5982),(17284,6949)}

Since, the no two set of ordered pairs have same first element. Hence, this relation is a function.

Chapter 1.1, Problem 51E

Chapter 1.1, Problem 53E

Chapter 1 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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