5) a) In your own words, explain conceptually what it means for f(x) to be O(g(x)). b) Determine what function is O( : 2x+3 x²-4 -). Explain your answer. (c) Show that 3x² - 4x is O(x² + 5). (d) Using the definition of Big-O, prove that 5x4 + 2x is not O(x³).

5) a) In your own words, explain conceptually what it means for f(x) to be O(g(x)). b) Determine what function is O( : 2x+3 x²-4 -). Explain your answer. (c) Show that 3x² - 4x is O(x² + 5). (d) Using the definition of Big-O, prove that 5x4 + 2x is not O(x³).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 95E: Explain why a polynomial function of odd degree must have at least one zero.

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Question

5) a) In your own words, explain conceptually what it means for f(x) to be O(g(x)).
b) Determine what function is O( :
2x+3
x²-4
-). Explain your answer.
(c) Show that 3x² - 4x is O(x² + 5).
(d) Using the definition of Big-O, prove that 5x4 + 2x is not O(x³).

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