Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z x Y, (x, y) ER means that **Y is an integer 2 1. State explicitly which ordered pairs in Z x Y is in R 2. Draw the arrow diagram of the relation. 3. Is the relation a function?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows:
Given {x, y} € Z x Y,
(x, y) E R means that **Y is an integer
1. State explicitly which ordered pairs in Z x Y is in R
2. Draw the arrow diagram of the relation.
3. Is the relation a function?
Transcribed Image Text:Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z x Y, (x, y) E R means that **Y is an integer 1. State explicitly which ordered pairs in Z x Y is in R 2. Draw the arrow diagram of the relation. 3. Is the relation a function?
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