1. Choose the best big-O estimate g(x) for each of these functions f(x). The function g must be such that f(x) is O(g(x)) and of the smallest order. a) f(x) = (nlog n + 1)³ + (log n + 1)(n² + 1) i. g(x) = n³ ii. g(x) = nº iii. g(x) = n°(logn)3 iv. g(x) = nº log n v. g(x) = n*(log n)³ b) f(x) = n²" +n"² i. g(x) = n² ii. g(x) = 2"+1 iii. g(x) = n2" %3D iv. g(x) = n"²

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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1. Choose the best big-O estimate g(x) for each of these functions f(x).
The function g must be such that f(x) is O(g(x)) and of the smallest order.
a) f(x) = (n log n+ 1)3 + (log n + 1)(nª + 1)
i. g(x) = n³
ii. g(x) = n4
iii. g(x) = n³(log n)3
iv. g(x) = n4 log n
v. g(x) = n*(log n)3
b) f(x) = n²" +n"²
i. g(x) = n?
ii. g(x) = 2"+1
iii. g(x) = n2"
%3D
iv. g(x) = nn²
Transcribed Image Text:1. Choose the best big-O estimate g(x) for each of these functions f(x). The function g must be such that f(x) is O(g(x)) and of the smallest order. a) f(x) = (n log n+ 1)3 + (log n + 1)(nª + 1) i. g(x) = n³ ii. g(x) = n4 iii. g(x) = n³(log n)3 iv. g(x) = n4 log n v. g(x) = n*(log n)3 b) f(x) = n²" +n"² i. g(x) = n? ii. g(x) = 2"+1 iii. g(x) = n2" %3D iv. g(x) = nn²
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