# For the given f : Z → Z , decide whether f is onto and whether it is one-to-one. Prove that your decisions are correct. a. f ( x ) = { x 2 if x is even 0 if x is odd b. f ( x ) = { 0 if x is even 2x if x is odd c. f ( x ) = { 2 x + 1 if x is even x + 1 2 if x is odd d. f ( x ) = { x 2 if x is even x − 3 2 if x is odd e. f ( x ) = { 3 x if x is even 2 x if x is odd f. f ( x ) = { 2 x − 1 if x is even 2x 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

Chapter
Section
Chapter 1.2, Problem 11E
Textbook Problem

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