a.
To find: the set of ordered pairs, the domain and range of the relation.
a.
Answer to Problem 16CFU
Ordered pair =
Domain =
Range =
Explanation of Solution
Given information:
The given details are as follows:
Height (in) | Weight (lb) |
83 | 240 |
81 | 220 |
82 | 245 |
78 | 200 |
83 | 255 |
73 | 200 |
80 | 215 |
77 | 210 |
78 | 190 |
73 | 180 |
86 | 300 |
77 | 220 |
82 | 260 |
Let the height be x and weight be y.
Calculation:
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, domain value is as follows:
All the possible values of yrepresent the range. So, the range is as follows:
b.
To represent: the graph relation.
b.
Answer to Problem 16CFU
Explanation of Solution
Given information:
The given details are as follows:
Height (in) | Weight (lb) |
83 | 240 |
81 | 220 |
82 | 245 |
78 | 200 |
83 | 255 |
73 | 200 |
80 | 215 |
77 | 210 |
78 | 190 |
73 | 180 |
86 | 300 |
77 | 220 |
82 | 260 |
Let the height be x and weight be y.
Calculation:
Plot the values of (x,y) in the graph as follows:
c.
whether the relation is a function.
c.
Answer to Problem 16CFU
Relation is not a function.
Explanation of Solution
Given information:
The given details are as follows:
Height (in) | Weight (lb) |
83 | 240 |
81 | 220 |
82 | 245 |
78 | 200 |
83 | 255 |
73 | 200 |
80 | 215 |
77 | 210 |
78 | 190 |
73 | 180 |
86 | 300 |
77 | 220 |
82 | 260 |
Let the height be x and weight be y.
Calculation:
The relation is graphed as follows:
By looking at the graph or at the table, we find that there are more than one value of y for a particular value of x. Example, for height 73 inches, the possible weights are 180 and 200.
So, it fails the vertical line test and hence this relation is not a function.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Precalculus
Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning