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Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n − 1 c) f(n) = n³ b) f(n) = n² +1 d) f(n) = [n/2]

Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n − 1 c) f(n) = n³ b) f(n) = n² +1 d) f(n) = [n/2]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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12. Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n − 1 3 c) f(n) = n³ b) f(n) = n²+1 d) f(n) = [n/2] 13. Which functions in Exercise 12 are onto?
Transcribed Image Text:12. Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n − 1 3 c) f(n) = n³ b) f(n) = n²+1 d) f(n) = [n/2] 13. Which functions in Exercise 12 are onto?
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