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The function g(n) is a/an

The function g(n) is a/an

Computer Networking: A Top-Down Approach (7th Edition)
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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*Data Structures

(a) The function g(n) is a/an [?] bound on f(n).

A. upper

B. tight

C. lower


(b) The function f(n) is a/an [?] bound on g(n).

A. upper

B. tight

C. lower

(c)  The function g(n) is a/an [?] bound on h(n).

A. upper

B. tight

C. lower


(d) The function j(n) is a/an [?] bound on g(n).

A. upper

B. tight

C. lower

 

(e) The function h(n) is a/an [?] bound on k(n).

A. upper

B. tight

C. lower


(f)  The function k(n) is a/an [?] bound on f(n).

A. upper

B. tight

C. lower

We classify functions using bounds. A function is an upper bound if it is always larger. For example, x* > x2. In this case x is an upper bound for x2. • If limn→o (Gn) (1) = o then f(n) is an upper bound on g(n) • If limn→o (Gm = Some Constant Number then f(n) is a tight bound on g(n) • If limn→x gn (8) = 0 then f (n) is a lower bound on g(n) Complete the following sentences. Use the same functions as the previous page. f (n) =1 д(п) —3п + 2 (18) (19) (20) h(n) =5n j(n) =2n? (21) k(n) =25n3 (22)
Transcribed Image Text:We classify functions using bounds. A function is an upper bound if it is always larger. For example, x* > x2. In this case x is an upper bound for x2. • If limn→o (Gn) (1) = o then f(n) is an upper bound on g(n) • If limn→o (Gm = Some Constant Number then f(n) is a tight bound on g(n) • If limn→x gn (8) = 0 then f (n) is a lower bound on g(n) Complete the following sentences. Use the same functions as the previous page. f (n) =1 д(п) —3п + 2 (18) (19) (20) h(n) =5n j(n) =2n? (21) k(n) =25n3 (22)
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