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Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a, b, c, d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f :Z x Z → Z, where f(m, n) = m2 – n2 3. f:Zx Z Z, where f(m, n) = |m| - In| %3D

Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a, b, c, d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f :Z x Z → Z, where f(m, n) = m2 – n2 3. f:Zx Z Z, where f(m, n) = |m| - In| %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a, b, c, d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f :Z x Z → Z, where f(m, n) = m2 – n2 3. f:Z x Z Z, where f(m, n) = |m| - In| %3D
Transcribed Image Text:Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a, b, c, d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f :Z x Z → Z, where f(m, n) = m2 – n2 3. f:Z x Z Z, where f(m, n) = |m| - In| %3D
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