define functions

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Which of the following relations define functions? Select all that apply.
Consider the set S = (1, 2, 3, 4) and let R be the relation on Sx S. R = {(1, 1), (2, 3), (4, 3)).
Consider the set S = (1, 2, 3) and let R be the relation on Sx S, R = {(1, 1), (2, 3). (1, 3)).
Let R₁ be the relation on Zx Z, R₁ = {(x,y) | xe Z and x < yl, where Z denotes the set of integers.
Consider the sets S₁
= (1, 2, 3, 4) and S₂ = (3, 4, 5) and let R be the relation on S₁ x S₂, R = {(1, 3), (2, 5), (4, 5)}.
Transcribed Image Text:Which of the following relations define functions? Select all that apply. Consider the set S = (1, 2, 3, 4) and let R be the relation on Sx S. R = {(1, 1), (2, 3), (4, 3)). Consider the set S = (1, 2, 3) and let R be the relation on Sx S, R = {(1, 1), (2, 3). (1, 3)). Let R₁ be the relation on Zx Z, R₁ = {(x,y) | xe Z and x < yl, where Z denotes the set of integers. Consider the sets S₁ = (1, 2, 3, 4) and S₂ = (3, 4, 5) and let R be the relation on S₁ x S₂, R = {(1, 3), (2, 5), (4, 5)}.
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