# For each of the following mappings, write out f ( S ) and f − 1 ( T ) for the given S and T , where f : Z → Z . a. f ( x ) = | x | ; S = Z − E , T = { 1 , 3 , 4 } b. f ( x ) = { x + 1 if x is even x if x is odd; S = { 0 , 1 , 5 , 9 } T = Z − E c. f ( x ) = x 2 ; S = { − 2 , − 1 , 0 , 1 , 2 } , T = { 2 , 7 , 11 } d. f ( x ) = | x | − x ; S = T = { − 7 , − 1 , 0 , 2 , 4 } .

### 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

Chapter
Section
Chapter 1.2, Problem 3E
Textbook Problem

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