Let S = {a, b, c, d}, and let fı: S → S, f2: S → S andf3: S → S be the following functions:A %3 { (а, с), (ъ, а), (с, d), (ӑ, b)},f2{(a, b), (b, d), (c, d), (d, c)},f3{(а, b), (ь, ь), (с, b), (а, ь)}.For each of the functions f1, f2, f3, determine whether it is injective, surjective,and/or bijective. In the case of negative answers, provide a suitable reason.

Answered: Image /qna-images/answer/e96ff968-0c23-492e-9e17-e1c347b09193.jpg

Answered: Let S = {a, b, c, d}, and let f1: S →…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.6: Rational Functions

Problem 87E

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