Let A = {1, 3, 5, 7, 9, 11}, B= {a, b, c, d, e}, and ƒ be the function from 4 to B defined as below: f = {(1, a), (3, b), (5, e), (7, c), (9, d), (11, a)} Determine whether f is everywhere defined, onto and one to one. Give a reason for each of your answers.

Let A = {1, 3, 5, 7, 9, 11}, B= {a, b, c, d, e}, and ƒ be the function from 4 to B defined as below: f = {(1, a), (3, b), (5, e), (7, c), (9, d), (11, a)} Determine whether f is everywhere defined, onto and one to one. Give a reason for each of your answers.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.3: Properties Of Composite Mappings (optional)

Problem 12E: Let f:AB and g:BA. Prove that f is one-to-one and onto if fg is one to-one and gf onto.

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Question

Subject:Discrete Mathematics 3a

Let A = {1, 3, 5, 7,9, 11}, B= {a, b, c, d, e}, and ƒ be the function from A to B defined
as below:
f = {(1, a), (3, b), (5, e), (7, c), (9, d), (11, a)}
Determine whether f is everywhere defined, onto and one to one. Give a reason for each
of your answers.

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