# Determine whether each of these functions is O(x).a) f(x)

## Problem 1E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 1E

Determine whether each of these functions is O(x).a) f(x) = 10________________b) f(x) = 3x + 7________________c) f(x) = x2 + x + 1________________d) f(x) = 5 log x________________e) f(x) = ?x?________________f) f(x) = ?x/2?

Step-by-Step Solution:

Solution: Step 1: In this problem,we have to determine whether each of these functions is O(x).Step 2:The definition for Big- O: Let f and g be functions from the real numbers to the real numbers. Then f is O(g) if there are constants c and kSuch that Let f and g be function from the integers or set of real numbers.For this condition we can say f(x) is O(g(x) if f(x) is O(g(x)) and f(x) is (g(x)).If f(x) is O(g(x)) if and only if there are positive constant C1 ,C2, and k C1|g(x)| C2|g(x)| where x>k

Step 3 of 3

##### ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 1E from 3.2 chapter was answered, more than 589 students have viewed the full step-by-step answer. The answer to “Determine whether each of these functions is O(x).a) f(x) = 10________________b) f(x) = 3x + 7________________c) f(x) = x2 + x + 1________________d) f(x) = 5 log x________________e) f(x) = ?x?________________f) f(x) = ?x/2?” is broken down into a number of easy to follow steps, and 34 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. The full step-by-step solution to problem: 1E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: determine, functions, log, these, whether. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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