Consider the following functions f:{1,2,3,4}→{1,2,3,4,5}. For each, determine whether it is (only) injective, (only) surjective, bijective, or neither.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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Consider the following functions f:{1,2,3,4}→{1,2,3,4,5}. For each, determine whether it is (only) injective, (only) surjective, bijective, or neither.

?
?
?
2 4
- (1 3 3 3 )
5 5 5 5
1. f =
2. f(x) =
x/2
(x+1)/2
1 2
3 4
5 1 3 1
| 3. f = ( 1 )
if x is even
if x is odd
Transcribed Image Text:? ? ? 2 4 - (1 3 3 3 ) 5 5 5 5 1. f = 2. f(x) = x/2 (x+1)/2 1 2 3 4 5 1 3 1 | 3. f = ( 1 ) if x is even if x is odd
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