CATIA UMNO. (Hint on this problem: Use arrow diagrams for ideas.) a) Find a specific example of a function f: N→→ N which is one-to-one but not onto. b) Find a specific example of a function f: Z→ Z which is one-to-one but not onto. c) Find a specific example of a function f: N→ N which is onto but not one-to-one. d) Find a specific example of a function f: Z→ Z which is onto but not one-to-one.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(Hint on this problem: Use arrow diagrams for ideas.)
->
a) Find a specific example of a function f: N N which is one-to-one but not onto.
b) Find a specific example of a function f: Z→ Z which is one-to-one but not onto.
c) Find a specific example of a function f: N→ N which is onto but not one-to-one.
d) Find a specific example of a function f: Z → Z which is onto but not one-to-one.
Transcribed Image Text:(Hint on this problem: Use arrow diagrams for ideas.) -> a) Find a specific example of a function f: N N which is one-to-one but not onto. b) Find a specific example of a function f: Z→ Z which is one-to-one but not onto. c) Find a specific example of a function f: N→ N which is onto but not one-to-one. d) Find a specific example of a function f: Z → Z which is onto but not one-to-one.
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