The following functions all have {1, 2, 3, 4, 5) as both their domain and codomain. For each, determine whether it is (only) injective, (on surjective, bijective, or neither injective nor surjective. 1. f(x) = ? 2. f = 1 4 3. f(x)= 2-2 23 4 2 19-2 if z <3 if # 23 4 5 3 1/ if # < 4 if # 24
The following functions all have {1, 2, 3, 4, 5) as both their domain and codomain. For each, determine whether it is (only) injective, (on surjective, bijective, or neither injective nor surjective. 1. f(x) = ? 2. f = 1 4 3. f(x)= 2-2 23 4 2 19-2 if z <3 if # 23 4 5 3 1/ if # < 4 if # 24
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, (on
surjective, bijective, or neither injective nor surjective.
?
?
?
1. f(x) =
+ 2. f =
3. f(z)
{².
1
4
4. f(x) =
x-2
234 5
423
I
912
if z <3
if ≥ 3
2+2
6-2
if x < 4
if x 24
if x.< 4
if z > 4
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