Beginning and Intermediate Algebra (6th Edition)
6th Edition
ISBN: 9780321969163
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 9, Problem 1TYWP
To determine
The correct definition for the term “relation” from the options;
A.A set of ordered pairs.
B.The ratio of change in y to the change in x along a line.
C.The set of all possible values of the independent variable.
D.All the second components of a set of ordered pairs.
Expert Solution & Answer
Answer to Problem 1TYWP
Solution:
The correct definition for the term “relation”, is option (A) and the definition is “a set of ordered pairs”.
Explanation of Solution
Given Information:
The options are,
A. A set of ordered pairs.
B. The ratio of change in y to the change in x along a line.
C. The set of all possible values of the independent variable.
D. All the second components of a set of ordered pairs.
Consider the option (A).
A.A set of ordered pairs:
A relation represents a relationship between sets of values. Hence it is represented as a set of ordered pairs.
For example, the set of ordered pairs like
So, this option (A) is correct.
Consider the option (B).
B.The ratio of change in y to the change in x along a line:
The ratio of change in y to the change in x along a line is called the slope of a line. Hence it cannot represent a relation.
So, this option (B) is incorrect.
Consider the option (C).
C.The set of all possible values of the independent variable:
The set of all possible values of the independent variable x is called the domain. So, these values represent the first component of the ordered pairs, but the not ordered pair. Hence, the set of all possible values of the independent variable cannot represent a relation.
So, this option (C) is incorrect.
Consider the option (D).
D.All the second components of a set of ordered pairs:
All the second components of a set of ordered pairs are the possible values of the dependent variable y or the range of the relation. So, it cannot represent a relation.
So, this option (D) is incorrect.
Hence, the correct definition is “a set of ordered pairs” that is option (A).
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Chapter 9 Solutions
Beginning and Intermediate Algebra (6th Edition)
Ch. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Prob. 2ECh. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Prob. 4ECh. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Prob. 7ECh. 9.1 - Write each relation as a set of ordered pairs. See...Ch. 9.1 - Prob. 9ECh. 9.1 - Write each relation as a set of ordered pairs. See...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Concept Check Express each relation using a...Ch. 9.1 - Prob. 15ECh. 9.1 - Concept Check Express each relation using a...Ch. 9.1 - Prob. 17ECh. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Prob. 38ECh. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Prob. 44ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Prob. 65ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Prob. 67ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.2 - Concept Check Work each problem. To emphasize that...Ch. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Solve each problem. The table represents a linear...Ch. 9.2 - Prob. 71ECh. 9.2 - Solve each problem. The graph shows electricity...Ch. 9.2 - Solve each problem.
73. Forensic scientists use...Ch. 9.2 - Prob. 74ECh. 9.2 - Prob. 75ECh. 9.2 - Prob. 76ECh. 9.2 - Prob. 77ECh. 9.2 - Prob. 78ECh. 9.2 - Prob. 79ECh. 9.2 - Prob. 80ECh. 9.2 - Prob. 81ECh. 9.2 - Prob. 82ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Solve each problem. See Objective 2. The cost in...Ch. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - Prob. 41ECh. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.3 - Prob. 87ECh. 9.3 - Prob. 88ECh. 9.3 - Prob. 89ECh. 9.3 - Prob. 90ECh. 9.3 - Prob. 91ECh. 9.3 - Prob. 92ECh. 9.3 - Prob. 93ECh. 9.3 - Prob. 94ECh. 9.3 - Prob. 95ECh. 9.3 - Prob. 96ECh. 9.3 - Prob. 97ECh. 9.3 - Prob. 98ECh. 9.3 - Prob. 99ECh. 9.3 - Prob. 100ECh. 9.3 - Prob. 101ECh. 9.3 - Prob. 102ECh. 9.3 - Prob. 103ECh. 9.3 - Prob. 104ECh. 9.3 - Solve each problem. See Objective 3.
105. When a...Ch. 9.3 - Prob. 106ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Concept Check Use personal experience or intuition...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Concept Check Use personal experience or intuition...Ch. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Solve each problem. See Examples 17. If h varies...Ch. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9.4 - Solve each problem. See Examples 1–7.
51. For a...Ch. 9.4 - Prob. 52ECh. 9.4 - Prob. 53ECh. 9.4 - Prob. 54ECh. 9.4 - Prob. 55ECh. 9.4 - Prob. 56ECh. 9.4 - Prob. 57ECh. 9.4 - Prob. 58ECh. 9.4 - Prob. 59ECh. 9.4 - Prob. 60ECh. 9.4 - Prob. 61ECh. 9.4 - Prob. 62ECh. 9.4 - Prob. 63ECh. 9.4 - Prob. 64ECh. 9.4 - Prob. 65ECh. 9.4 - Prob. 66ECh. 9.4 - Prob. 67ECh. 9.4 - Prob. 68ECh. 9 - Prob. 1TYWPCh. 9 - Prob. 2TYWPCh. 9 - Prob. 3TYWPCh. 9 - Prob. 4TYWPCh. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.2 Let f(x)=2x2+3x6. Find the following. f(0)Ch. 9 - 9.2 Let f(x)=2x2+3x6. Find the following. f(2.1)Ch. 9 - 9.2 Let. Find the following.
11.
Ch. 9 - 9.2 Let f(x)=2x2+3x6. Find the following. f(k)Ch. 9 - Solve each problem.
13. The equation defines y as...Ch. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Solve each problem.
27. The frequency (number of...Ch. 9 - Prob. 28RECh. 9 - Prob. 1MRECh. 9 - Prob. 2MRECh. 9 - Prob. 3MRECh. 9 - Prob. 4MRECh. 9 - Prob. 5MRECh. 9 - Prob. 6MRECh. 9 - Prob. 7MRECh. 9 - Prob. 8MRECh. 9 - Prob. 9MRECh. 9 - Prob. 10MRECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - Prob. 10TCh. 9 - Prob. 11TCh. 9 - Prob. 12TCh. 9 - Prob. 1CRECh. 9 - Prob. 2CRECh. 9 - Prob. 3CRECh. 9 - Prob. 4CRECh. 9 - Prob. 5CRECh. 9 - Prob. 6CRECh. 9 - Prob. 7CRECh. 9 - Prob. 8CRECh. 9 - Prob. 9CRECh. 9 - Prob. 10CRECh. 9 - Prob. 11CRECh. 9 - Prob. 12CRECh. 9 - Prob. 13CRECh. 9 - Perform the indicated operations. (14x+5)2Ch. 9 - Prob. 15CRECh. 9 - Prob. 16CRECh. 9 - Prob. 17CRECh. 9 - Prob. 18CRECh. 9 - Prob. 19CRECh. 9 - Prob. 20CRECh. 9 - Prob. 21CRECh. 9 - Prob. 22CRECh. 9 - Prob. 23CRECh. 9 - Prob. 24CRECh. 9 - Prob. 25CRECh. 9 - Prob. 26CRECh. 9 - Prob. 27CRECh. 9 - Solve each problem. Decide whether the relation...Ch. 9 - Prob. 29CRECh. 9 - Prob. 30CRECh. 9 - Prob. 31CRECh. 9 - Prob. 32CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- For Questions 1 through 6, fill in the blank with an appropriate word. A relation is any set of ________ ________.arrow_forwardA bottle of medicine is to be stored at a temperature between 5 C and 10 C. What range does this correspond to on the Fahrenheit scale? Note: Fahrenheit F and Celsius C temperatures satisfy the relation C=59(F32).arrow_forwardDoes the relation is in love with have a reflexive property consider one person? a symmetric property consider two people? a transitive property consider three people?arrow_forward
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
What is a Relation? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=hV1_wvsdJCE;License: Standard YouTube License, CC-BY
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY