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Let A = {3, 4, 5}, and B = {−5, -3, -2, -1}. Define a relation R from A to B as follows: For all (x, y) = A × B, (x, y) = R means that x = 1 — y. (a) Write R as a list of ordered pairs. (b) Draw an arrow diagram for R. (c) Is R a function? Justify your answer.

Let A = {3, 4, 5}, and B = {−5, -3, -2, -1}. Define a relation R from A to B as follows: For all (x, y) = A × B, (x, y) = R means that x = 1 — y. (a) Write R as a list of ordered pairs. (b) Draw an arrow diagram for R. (c) Is R a function? Justify your answer.

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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Let \( A = \{3, 4, 5\} \), and \( B = \{-5, -3, -2, -1\} \). Define a relation \( R \) from \( A \) to \( B \) as follows: For all \((x, y) \in A \times B, (x, y) \in R \) means that \( x = 1 - y \). (a) Write \( R \) as a list of ordered pairs. (b) Draw an arrow diagram for \( R \). (c) Is \( R \) a function? Justify your answer.
Transcribed Image Text:Let \( A = \{3, 4, 5\} \), and \( B = \{-5, -3, -2, -1\} \). Define a relation \( R \) from \( A \) to \( B \) as follows: For all \((x, y) \in A \times B, (x, y) \in R \) means that \( x = 1 - y \). (a) Write \( R \) as a list of ordered pairs. (b) Draw an arrow diagram for \( R \). (c) Is \( R \) a function? Justify your answer.
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