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. ? ? ? ? ✓1. f v 2. f = = 1 1 4. f(x) ✓ 3. f(x) = 1 2 3 2 4 3 2 3 4 5 1 2 2 3 = ſ³ X - X √x+2 6 - X 4 5 1 2 if x < 3 if x > 3 if x < 4 if x > 4
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. ? ? ? ? ✓1. f v 2. f = = 1 1 4. f(x) ✓ 3. f(x) = 1 2 3 2 4 3 2 3 4 5 1 2 2 3 = ſ³ X - X √x+2 6 - X 4 5 1 2 if x < 3 if x > 3 if x < 4 if x > 4
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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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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