By the definition of O-notation, is it true that the function 3n + 9 is O(n)? If so, prove that it is true by using the mathematical definition of O-notation. If not, explain in a couple of sentences why it isn't. By the definition of N-notation, is it true that the function 3n + 9 is Q(n³)? If so, prove that it is true by using the mathematical definition of Q-notation. If not, explain in a couple of sentences why it isn't.

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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1. By the definition of O-notation, is it true that the function 3n + 9 is O(n³)? If so, prove that it is true by using the mathematical definition of O-notation. If not, explain in a couple of sentences why it isn't.
2. By the definition of 2-notation, is it true that the function 3n + 9 is Q(n³)? If so, prove that it is true by using the mathematical definition of 2-notation. If not, explain in a couple of sentences why it isn't.
Transcribed Image Text:1. By the definition of O-notation, is it true that the function 3n + 9 is O(n³)? If so, prove that it is true by using the mathematical definition of O-notation. If not, explain in a couple of sentences why it isn't. 2. By the definition of 2-notation, is it true that the function 3n + 9 is Q(n³)? If so, prove that it is true by using the mathematical definition of 2-notation. If not, explain in a couple of sentences why it isn't.
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