Suppose there are three different algorithms for solving the same problem and each algorithm takes a number of steps that is of the order of the functions n*log base2 of n, n^(3/2), and n(log base 2 of n)^2.  Which of the algorithms is the most efficient in the long run? Graph the functions to get a better sense of how rapidly each grows

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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Suppose there are three different algorithms for solving the same problem and each algorithm takes a number of steps that is of the order of the functions n*log base2 of n, n^(3/2), and n(log base 2 of n)^2.  Which of the algorithms is the most efficient in the long run?

Graph the functions to get a better sense of how rapidly each grows

 

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