12. Determine whether each of these functions from Z to Z is one-to-one. If not one-to-one, give counter example. a) f(n) = 2n-5 b) f(n)=n²+3
12. Determine whether each of these functions from Z to Z is one-to-one. If not one-to-one, give counter example. a) f(n) = 2n-5 b) f(n)=n²+3
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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Transcribed Image Text:**Exercise 12:**
Determine whether each of these functions from \( \mathbb{Z} \) to \( \mathbb{Z} \) is one-to-one. If not one-to-one, provide a counterexample.
a) \( f(n) = 2n - 5 \)
b) \( f(n) = n^2 + 3 \)
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