Discrete Mathematics With Applicat...

5th Edition

EPP + 1 other

ISBN: 9781337694193

Textbook Problem

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Let X = { 1 , 2 , 3 } , Y = { 1 , 2 , 3 , 4 } , and Z= { 1 , 2 }

Define a function f : X → Z that is onto but not one-to-one.

Define a function g : X → Z that is onto but not one-to-one.

Define a function h : X → X that is neither one-to-one nor onto.

Define a function k : X → X that is one-to-one and onto but is not the identity functions on X.

To determine

(a)

To find:

A function f:X→Y which is one-to-one but not onto.

Explanation

Given information:

Let X={1,2,3},Y={1,2,3,4} and Z={1,2}

To determine

(b)

To find:

A function g:X→Z which is onto but not one-to-one.

To determine

(c)

To find:

A function h:X→X which is neither one-to-one nor onto.

To determine

(d)

To find:

A function k:X→X which is one-to-one and onto but is not the identity function on X.

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Chapter 7 Solutions

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Sect-7.1 P-1TY Sect-7.1 P-2TY Sect-7.1 P-3TY Sect-7.1 P-4TY Sect-7.1 P-5TY Sect-7.1 P-6TY Sect-7.1 P-7TY Sect-7.1 P-8TY Sect-7.1 P-9TY Sect-7.1 P-1ES

Sect-7.1 P-2ES Sect-7.1 P-3ES Sect-7.1 P-4ES Sect-7.1 P-5ES Sect-7.1 P-6ES Sect-7.1 P-7ES Sect-7.1 P-8ES Sect-7.1 P-9ES Sect-7.1 P-10ES Sect-7.1 P-11ES Sect-7.1 P-12ES Sect-7.1 P-13ES Sect-7.1 P-14ES Sect-7.1 P-15ES Sect-7.1 P-16ES Sect-7.1 P-17ES Sect-7.1 P-18ES Sect-7.1 P-19ES Sect-7.1 P-20ES Sect-7.1 P-21ES Sect-7.1 P-22ES Sect-7.1 P-23ES Sect-7.1 P-24ES Sect-7.1 P-25ES Sect-7.1 P-26ES Sect-7.1 P-27ES Sect-7.1 P-28ES Sect-7.1 P-29ES Sect-7.1 P-30ES Sect-7.1 P-31ES Sect-7.1 P-32ES Sect-7.1 P-33ES Sect-7.1 P-34ES Sect-7.1 P-35ES Sect-7.1 P-36ES Sect-7.1 P-37ES Sect-7.1 P-38ES Sect-7.1 P-39ES Sect-7.1 P-40ES Sect-7.1 P-41ES Sect-7.1 P-42ES Sect-7.1 P-43ES Sect-7.1 P-44ES Sect-7.1 P-45ES Sect-7.1 P-46ES Sect-7.1 P-47ES Sect-7.1 P-48ES Sect-7.1 P-49ES Sect-7.1 P-50ES Sect-7.1 P-51ES Sect-7.1 P-52ES Sect-7.1 P-53ES Sect-7.2 P-1TY Sect-7.2 P-2TY Sect-7.2 P-3TY Sect-7.2 P-4TY Sect-7.2 P-5TY Sect-7.2 P-6TY Sect-7.2 P-7TY Sect-7.2 P-8TY Sect-7.2 P-9TY Sect-7.2 P-10TY Sect-7.2 P-11TY Sect-7.2 P-1ES Sect-7.2 P-2ES Sect-7.2 P-3ES Sect-7.2 P-4ES Sect-7.2 P-5ES Sect-7.2 P-6ES Sect-7.2 P-7ES Sect-7.2 P-8ES Sect-7.2 P-9ES Sect-7.2 P-10ES Sect-7.2 P-11ES Sect-7.2 P-12ES Sect-7.2 P-13ES Sect-7.2 P-14ES Sect-7.2 P-15ES Sect-7.2 P-16ES Sect-7.2 P-17ES Sect-7.2 P-18ES Sect-7.2 P-19ES Sect-7.2 P-20ES Sect-7.2 P-21ES Sect-7.2 P-22ES Sect-7.2 P-23ES Sect-7.2 P-24ES Sect-7.2 P-25ES Sect-7.2 P-26ES Sect-7.2 P-27ES Sect-7.2 P-28ES Sect-7.2 P-29ES Sect-7.2 P-30ES Sect-7.2 P-31ES Sect-7.2 P-32ES Sect-7.2 P-33ES Sect-7.2 P-34ES Sect-7.2 P-35ES Sect-7.2 P-36ES Sect-7.2 P-37ES Sect-7.2 P-38ES Sect-7.2 P-39ES Sect-7.2 P-40ES Sect-7.2 P-41ES Sect-7.2 P-42ES Sect-7.2 P-43ES Sect-7.2 P-44ES Sect-7.2 P-45ES Sect-7.2 P-46ES Sect-7.2 P-47ES Sect-7.2 P-48ES Sect-7.2 P-49ES Sect-7.2 P-50ES Sect-7.2 P-51ES Sect-7.2 P-52ES Sect-7.2 P-53ES Sect-7.2 P-54ES Sect-7.2 P-55ES Sect-7.2 P-56ES Sect-7.2 P-57ES Sect-7.2 P-58ES Sect-7.3 P-1TY Sect-7.3 P-2TY Sect-7.3 P-3TY Sect-7.3 P-4TY Sect-7.3 P-5TY Sect-7.3 P-1ES Sect-7.3 P-2ES Sect-7.3 P-3ES Sect-7.3 P-4ES Sect-7.3 P-5ES Sect-7.3 P-6ES Sect-7.3 P-7ES Sect-7.3 P-8ES Sect-7.3 P-9ES Sect-7.3 P-10ES Sect-7.3 P-11ES Sect-7.3 P-12ES Sect-7.3 P-13ES Sect-7.3 P-14ES Sect-7.3 P-15ES Sect-7.3 P-16ES Sect-7.3 P-17ES Sect-7.3 P-18ES Sect-7.3 P-19ES Sect-7.3 P-20ES Sect-7.3 P-21ES Sect-7.3 P-22ES Sect-7.3 P-23ES Sect-7.3 P-24ES Sect-7.3 P-25ES Sect-7.3 P-26ES Sect-7.3 P-27ES Sect-7.3 P-28ES Sect-7.3 P-29ES Sect-7.3 P-30ES Sect-7.4 P-1TY Sect-7.4 P-2TY Sect-7.4 P-3TY Sect-7.4 P-4TY Sect-7.4 P-5TY Sect-7.4 P-6TY Sect-7.4 P-7TY Sect-7.4 P-8TY Sect-7.4 P-9TY Sect-7.4 P-1ES Sect-7.4 P-2ES Sect-7.4 P-3ES Sect-7.4 P-4ES Sect-7.4 P-5ES Sect-7.4 P-6ES Sect-7.4 P-7ES Sect-7.4 P-8ES Sect-7.4 P-9ES Sect-7.4 P-10ES Sect-7.4 P-11ES Sect-7.4 P-12ES Sect-7.4 P-13ES Sect-7.4 P-14ES Sect-7.4 P-15ES Sect-7.4 P-16ES Sect-7.4 P-17ES Sect-7.4 P-18ES Sect-7.4 P-19ES Sect-7.4 P-20ES Sect-7.4 P-21ES Sect-7.4 P-22ES Sect-7.4 P-23ES Sect-7.4 P-24ES Sect-7.4 P-25ES Sect-7.4 P-26ES Sect-7.4 P-27ES Sect-7.4 P-28ES Sect-7.4 P-29ES Sect-7.4 P-30ES Sect-7.4 P-31ES Sect-7.4 P-32ES Sect-7.4 P-33ES Sect-7.4 P-34ES Sect-7.4 P-35ES Sect-7.4 P-36ES Sect-7.4 P-37ES Sect-7.4 P-38ES

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