Question 25 Given the collection of Big Oh and Big Omega assertions below, which of the following Big Theta assertions might be true? Please note that there is no guarantee that any of these Big Theta assertions will be true, but the vast majority of them are definitely false. f(x) is O(r'3) f(x) is N(x*) f (x) is O(r5) f(x) is N(r') f(r) is (r°) f (x) is O(r“) f(x) is (r³) f(r) is N(x") O none of these options are true O f(x) is O(x5) O f(x) is O(x4) f(x) is O(x")

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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Question 25
Given the collection of Big Oh and Big Omega assertions below, which of the
following Big Theta assertions might be true? Please note that there is no guarantee
any of these Big Theta assertions will be true, but the vast majority of them are
definitely false.
that
f(x) is O(r³) f(r) is 2(r°) f(1) is O(r4) f(x) is 2(r³)
f(r) is N(x*) f (x) is O(r5) f(x) is N(x') f(x) is 2(x")
O none of these options are true
O f(2) is O(x15)
O f(x) is O(x4)
O f(2) is O(x)
Transcribed Image Text:Question 25 Given the collection of Big Oh and Big Omega assertions below, which of the following Big Theta assertions might be true? Please note that there is no guarantee any of these Big Theta assertions will be true, but the vast majority of them are definitely false. that f(x) is O(r³) f(r) is 2(r°) f(1) is O(r4) f(x) is 2(r³) f(r) is N(x*) f (x) is O(r5) f(x) is N(x') f(x) is 2(x") O none of these options are true O f(2) is O(x15) O f(x) is O(x4) O f(2) is O(x)
O none of these options are true
O f(x) is O(x")
O f(x) is O(x")
O f(x) is 2(x")
f(x) is 2(æª)
O f(x) is N(x")
O f(x) is O(r'")
O more than one of these options is true
Transcribed Image Text:O none of these options are true O f(x) is O(x") O f(x) is O(x") O f(x) is 2(x") f(x) is 2(æª) O f(x) is N(x") O f(x) is O(r'") O more than one of these options is true
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