Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each,
determine whether it is (only) injective, (only) surjective, bijective, or neither injective nor
surjective.
?
?
?
?
v 1. f =
v 2. f
=
1
3. f(x) = {
✓ 4. f(x) =
=
21
3
4 3
3
3 4
22
X
X
x + 2
6
- x
5
133)
4 5
1 2
if x < 3
if x > 3
if x < 4
if x > 4
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Transcribed Image Text:The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each, determine whether it is (only) injective, (only) surjective, bijective, or neither injective nor surjective. ? ? ? ? v 1. f = v 2. f = 1 3. f(x) = { ✓ 4. f(x) = = 21 3 4 3 3 3 4 22 X X x + 2 6 - x 5 133) 4 5 1 2 if x < 3 if x > 3 if x < 4 if x > 4
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