Given: Sets: A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} and B={0, 1, 4,9, 16, 25} Relation: R≤BX A such that R = {(25, 5), (9, -3) (1, 1), (0, 0), (25,-5), (1, -1)} Which of the following is NOT true about the relation R? The domain of R are elements of set B and the range of R are elements of set A. R is a function because it is possible to deduce it to the function f(x)=√x When the graph of R is plotted and subjected to the vertical line test it will fail. R is a Many-to-Many relation which has characteristics that makes it an invalid function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Given:
Sets:
A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5) and
B={0, 1, 4,9, 16, 25}
Relation:
R≤BX A such that
R = {(25, 5), (9, -3) (1, 1), (0, 0), (25,-5), (1, -1)}
Which of the following is NOT true about the relation R?
The domain of R are elements of set B and the range of R are elements of set A.
R is a function because it is possible to deduce it to the function f(x)=√x
When the graph of R is plotted and subjected to the vertical line test it will fail.
R is a Many-to-Many relation which has characteristics that makes it an invalid
function.
Transcribed Image Text:Given: Sets: A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5) and B={0, 1, 4,9, 16, 25} Relation: R≤BX A such that R = {(25, 5), (9, -3) (1, 1), (0, 0), (25,-5), (1, -1)} Which of the following is NOT true about the relation R? The domain of R are elements of set B and the range of R are elements of set A. R is a function because it is possible to deduce it to the function f(x)=√x When the graph of R is plotted and subjected to the vertical line test it will fail. R is a Many-to-Many relation which has characteristics that makes it an invalid function.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,