Let D = {a, b, c, d, e} and C = {1,2,3,4,5,6}. Define f: D → C by f = {(a,6), (b, 1), (c, 4), (d, 3), (e, 4)}. %3D i) Is f onto? Explain. ii) Is f one-to-one? Explain. iii) If A = {a, c, e}, find f[A]. iv) If B = {2,3,4,5}, find f-'[B]. %3D

Let D = {a, b, c, d, e} and C = {1,2,3,4,5,6}. Define f: D → C by f = {(a,6), (b, 1), (c, 4), (d, 3), (e, 4)}. %3D i) Is f onto? Explain. ii) Is f one-to-one? Explain. iii) If A = {a, c, e}, find f[A]. iv) If B = {2,3,4,5}, find f-'[B]. %3D

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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Question

Please solve every parts

Let D = {a, b, c, d, e} and C = {1,2,3,4,5,6}. Define f:D → C by
f = {(a,6), (b, 1), (c, 4), (d,3), (e, 4)}.
%3D
i)
Is f onto? Explain.
ii)
Is f one-to-one? Explain.
iii)
If A = {a, c, e}, find f[A].
%3D
iv)
If B = {2,3,4,5}, find f-[B].

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