Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Define a function satisfying the given condition by defining its value on each element of the domain. Note that there are many correct answers for these questions.
1. f : {5, 15, 17, 18} → {1, 6, 7, 12, 13, 17} which is injective.
2. f: {5, 15, 17, 18} → {1, 6, 7, 12, 13, 17} which is not injective.
3. f: {5, 15, 17, 18} - › {12, 13, 17} which is surjective.
4. f : {5, 15, 17, 18} → {12, 13, 17} which is not surjective.
ƒ(5) =
f(15)
=
f(17)
ƒ(18) =
=
ƒ(5) =
f(15)
ƒ(17) =
f(18) =
=
T
=
ƒ(5) =
f(15) =
f(17) =
f(18) =
=
f(5)
f(15) =
f(17) =
f(18) =
=
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Transcribed Image Text:Define a function satisfying the given condition by defining its value on each element of the domain. Note that there are many correct answers for these questions. 1. f : {5, 15, 17, 18} → {1, 6, 7, 12, 13, 17} which is injective. 2. f: {5, 15, 17, 18} → {1, 6, 7, 12, 13, 17} which is not injective. 3. f: {5, 15, 17, 18} - › {12, 13, 17} which is surjective. 4. f : {5, 15, 17, 18} → {12, 13, 17} which is not surjective. ƒ(5) = f(15) = f(17) ƒ(18) = = ƒ(5) = f(15) ƒ(17) = f(18) = = T = ƒ(5) = f(15) = f(17) = f(18) = = f(5) f(15) = f(17) = f(18) = =
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