 # For each of the following mappings f : Z → Z , determine whether the mapping is onto and whether it is one-to-one. Justify all negative answers. a. f ( x ) = 2 x b. f ( x ) = 3 x c. f ( x ) = x + 3 d. f ( x ) = x 3 e. f ( x ) = | x | f. f ( x ) = x − | x | g. f ( x ) = { x if x is even 2 x − 1 if x is odd h. f ( x ) = { x if x is even x − 1 if x is odd i. f ( x ) = { x if x is even x − 1 2 if x is odd j. f ( x ) = { x − 1 if x is even 2 x if x is odd ### Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
Publisher: Cengage Learning,
ISBN: 9781285463230 ### Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
Publisher: Cengage Learning,
ISBN: 9781285463230

#### Solutions

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Chapter 1.2, Problem 4E
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