More Examples • For each of the following pairs of functions, either f(n) is O(g(n)), f(n) is (g(n)), or f(n) = O(g(n)). Determine which relationship is correct. %3D -f(n) = log n2; g(n) = log n + 5 f(n) = n; g(n) = log n? - f(n) = log log n: g(n) = log n - f(n) = n; g(n) = log? n f(n) = n log n + n; g(n) = log n - f(n) = 10; g(n) = log 10 f(n) = 2n: g(n) = 10n2 - f(n) = 2n: g(n) = 3n f(n) = © (g(n)) f(n) = 2(g(n)) f(n) = O(g(n)) f(n) = 2(g(n)) f(n) = 2(g(n)) f(n) = ©(g(n)) f(n) = 2(g(n)) f(n) = O(g(n)) %3D %3D %3D %3D %3D %3D %3D %3D %3D 32
More Examples • For each of the following pairs of functions, either f(n) is O(g(n)), f(n) is (g(n)), or f(n) = O(g(n)). Determine which relationship is correct. %3D -f(n) = log n2; g(n) = log n + 5 f(n) = n; g(n) = log n? - f(n) = log log n: g(n) = log n - f(n) = n; g(n) = log? n f(n) = n log n + n; g(n) = log n - f(n) = 10; g(n) = log 10 f(n) = 2n: g(n) = 10n2 - f(n) = 2n: g(n) = 3n f(n) = © (g(n)) f(n) = 2(g(n)) f(n) = O(g(n)) f(n) = 2(g(n)) f(n) = 2(g(n)) f(n) = ©(g(n)) f(n) = 2(g(n)) f(n) = O(g(n)) %3D %3D %3D %3D %3D %3D %3D %3D %3D 32
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
Solve d part only
Correct and detailed answer
Transcribed Image Text:More Examples
For each of the following pairs of functions, either f(n) is
O(g(n)), f(n) is (g(n)), or f(n) = 0(g(n)). Determine
which relationship is correct.
%3D
- f(n) = log n2; g(n) = log n + 5
f(n) = n; g(n) = log n?
- f(n) = log log n: g(n) = log n
- f(n) = n; g(n) = log? n
- f(n) = n log n + n; g(n) = log n
-f(n) = 10; g(n) = log 10
f(n) = 2n: g(n) = 10n2
- f(n) = 2"; g(n) = 3"
f(n) = © (g(n))
f(n) = 2(g(n))
f(n) = O(g(n))
f(n) = 2(g(n))
f(n) = 2(g(n))
f(n) = ©(g(n))
f(n) = 2(g(n))
f(n) = O(g(n))
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
32
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