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Consider the following functions of n. fi(n) = n, ifn=2.k for k= 0, 1, 2,... =n?, otherwise. fa(n) = n, ifn=3.k for k= 0, 1, 2,... = n°, otherwise. faln) = log n. Answer the following questions. fi(n) = Q(f(n)), Yes or No. faln) = 2(f;(n)), Yes or No. filn) = O(n), Yes or No. fa(n) = O(n?), Yes or No. fL(n) = 0(Vn). Yes or No. f(n) = 0(fi(n)), Yes or No. 22n = Q(24). Yes or No.

Consider the following functions of n. fi(n) = n, ifn=2.k for k= 0, 1, 2,... =n?, otherwise. fa(n) = n, ifn=3.k for k= 0, 1, 2,... = n°, otherwise. faln) = log n. Answer the following questions. fi(n) = Q(f(n)), Yes or No. faln) = 2(f;(n)), Yes or No. filn) = O(n), Yes or No. fa(n) = O(n?), Yes or No. fL(n) = 0(Vn). Yes or No. f(n) = 0(fi(n)), Yes or No. 22n = Q(24). Yes or No.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following functions of n. fi(n) = n, ifn=2.k for k= 0, 1, 2,... =n?, otherwise. fa(n) = n, ifn=3.k for k= 0, 1, 2,... = n°, otherwise. faln) = log n. Answer the following questions. fi(n) = Q(f(n)), Yes or No. faln) = 2(f;(n)), Yes or No. filn) = O(n), Yes or No. fa(n) = O(n?), Yes or No. fL(n) = O(Vn), Yes or No. f(n) = 0(fi(n)), Yes or No. 22n = Q(24). Yes or No.
Transcribed Image Text:Consider the following functions of n. fi(n) = n, ifn=2.k for k= 0, 1, 2,... =n?, otherwise. fa(n) = n, ifn=3.k for k= 0, 1, 2,... = n°, otherwise. faln) = log n. Answer the following questions. fi(n) = Q(f(n)), Yes or No. faln) = 2(f;(n)), Yes or No. filn) = O(n), Yes or No. fa(n) = O(n?), Yes or No. fL(n) = O(Vn), Yes or No. f(n) = 0(fi(n)), Yes or No. 22n = Q(24). Yes or No.
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