Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x = y - 3, which elements x and y are related to each other? (Stated another way: { (x, y) E AxB | x = y - 3}) A. Is the relation defined above a function? Why or why not? B. Define a relation from Z to Z as follows: For all xe Z and all y e Z, x and y are related iff x = y - 3 (Stated another way: {(x, y) e ZxZ|x= y - 3}). Is this relation a function?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter1: Expressions And Functions
Section1.7: Functions
Problem 60PFA
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Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x = y - 3, which
elements x and y are related to each other? (Stated another way: { (x, y) e Ax B | x = y - 3})
A. Is the relation defined above a function? Why or why not?
B. Define a relation from Z to Z as follows: For all x e Z and all y e Z, x and y are related iff x =
y - 3 (Stated another way: {(x, y) e ZxZ|x=y- 3}). Is this relation a function?
Transcribed Image Text:Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x = y - 3, which elements x and y are related to each other? (Stated another way: { (x, y) e Ax B | x = y - 3}) A. Is the relation defined above a function? Why or why not? B. Define a relation from Z to Z as follows: For all x e Z and all y e Z, x and y are related iff x = y - 3 (Stated another way: {(x, y) e ZxZ|x=y- 3}). Is this relation a function?
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