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Let X = {1,2,3,4,5} and Y= {1,2,3,4}. For each following functions, examine if its is injective, surjective, or bijective. Justify your answers. 1 2 3 4 5 a) f:X Y defined by f = 3 142 1 %3D b) f:Y → Y defined by f(x) = } (x +1 if x = 1,2,3. x - 3 if x = 4. %3D

Let X = {1,2,3,4,5} and Y= {1,2,3,4}. For each following functions, examine if its is injective, surjective, or bijective. Justify your answers. 1 2 3 4 5 a) f:X Y defined by f = 3 142 1 %3D b) f:Y → Y defined by f(x) = } (x +1 if x = 1,2,3. x - 3 if x = 4. %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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Let X = {1,2,3,4,5} and Y= {1,2,3,4}. For each following functions, examine if its is injective, surjective, or bijective. Justify your answers. %3D a) f:X → Y defined by f = (; 2 3 4 5 ) 2 1 .3 1 4 b) f:Y → Y defined by f(x) = x+1 if x = 1,2, 3. x - 3 if x = 4. %3D
Transcribed Image Text:Let X = {1,2,3,4,5} and Y= {1,2,3,4}. For each following functions, examine if its is injective, surjective, or bijective. Justify your answers. %3D a) f:X → Y defined by f = (; 2 3 4 5 ) 2 1 .3 1 4 b) f:Y → Y defined by f(x) = x+1 if x = 1,2, 3. x - 3 if x = 4. %3D
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