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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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