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(a) f: N→ N where f(n) = √n 1 x² - 5 (b) f: Z→ Z where f(x) = (c) f: R → R where f(n) = [x² x-1 if x ≤ 2 if x ≥ 4

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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Question

1. Solve this question with counterexamples to determine if each of the following describes a function with the given domain and codomain perfectly all the subparts on word processing document.

(a) f: N→ N where f(n) = √n
1
x² - 5
(b) f: Z→ Z where f(x) =
(c) f: RR where f(n) =
[x²
if x ≤ 2
x-1 if x ≥ 4

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