a
To find: set of ordered pairs, domain and range of the relation from the provided data.
a
Answer to Problem 52E
Relation=
Range=
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:
Since all the possible values of x is a domain. So, the domain value is shown below.
All the possible values of y represent the range. So, the range is as follows:
b
To represent: the graphical relation.
b
Answer to Problem 52E
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:
Plotting these values on graph we get a relation as follows:
c.
whether the relation is a function along with an explanation.
c.
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:
Since, the no two set of ordered pairs have same first element. Hence, this relation is a function.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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