3. Let f: N N, where f(n) = Lvn]. Answer the following questions. (a) Find p and q such that f(p) = f(q) = 2 and p# q. %3D %3D (b) Is f(n) a one to one function? Briefly explain your answer. (c) Find a k such that f(k) = 5. (d) Find an a such that f(x) = a, where a is any positive integer. (e) Is f(n) an onto function? Briefly explain your answer. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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parts a-e please 

3.
Let f: N N, where f(n) = LVn]. Answer the following questions.
(a) Find p and q such that f(p) = f(g) = 2 and p q.
(b) Is f(n) a one to one function? Briefly explain your answer.
(c) Find a k such that f(k) = 5.
(d) Find an a such that f(x) = a, where a is any positive integer.
(e) Is f(n) an onto function? Briefly explain your answer.
Transcribed Image Text:3. Let f: N N, where f(n) = LVn]. Answer the following questions. (a) Find p and q such that f(p) = f(g) = 2 and p q. (b) Is f(n) a one to one function? Briefly explain your answer. (c) Find a k such that f(k) = 5. (d) Find an a such that f(x) = a, where a is any positive integer. (e) Is f(n) an onto function? Briefly explain your answer.
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