Explanation Given information: 1 2 x 2 ≤ | 3 x 2 − 80 x + 71 | ≤ 3 | x 2 | for all real numbers x > 25 . Concept used: Θ − n o t a t i o n is used for solving this problem. Calculation: It is required to express the given expression using Big theta notation. The given statement is 1 2 x 2 ≤ | 3 x 2 − 80 x + 71 | ≤ 3 | x 2 | for all real numbers x > 25 . Let f ( x ) = 3 x 2 − 80 x + 7 , g ( x ) = x 2 and h ( x ) = x 2

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ISBN: 9781337694193

Author: EPP, Susanna S.

Publisher: Cengage Learning,

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Chapter 11.2, Problem 9ES

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Express each statement using Ω−,O−, or Θ_− notation.

12x2≤|3x2−80x+71|≤3|x2| for all real numbers x>25.

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Chapter 11.2, Problem 8ES

Chapter 11.2, Problem 10ES

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Express each statement using Ω − , O − , or Θ _ − notation. 1 2 x 2 ≤ | 3 x 2 − 80 x + 71 | ≤ 3 | x 2 | for all real numbers x > 25 .

Solution Summary: The author explains how to express the given expression using Omega -,O,orTheta_- notation.

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Express each statement using Ω−,O−, or Θ_− notation.

12x2≤|3x2−80x+71|≤3|x2| for all real numbers x>25.

Want to see the full answer?

Chapter 11 Solutions

Express each statement using Ω − , O − , or Θ _ − notation. 1 2 x 2 ≤ | 3 x 2 − 80 x + 71 | ≤ 3 | x 2 | for all real numbers x &gt; 25 .

Solution Summary: The author explains how to express the given expression using Omega -,O,orTheta_- notation.

Concept explainers

Videos

Express each statement using Ω−,O−, or Θ_− notation. 12x2≤|3x2−80x+71|≤3|x2| for all real numbers x>25.

Want to see the full answer?

Chapter 11 Solutions

Express each statement using Ω − , O − , or Θ _ − notation. 1 2 x 2 ≤ | 3 x 2 − 80 x + 71 | ≤ 3 | x 2 | for all real numbers x > 25 .

Express each statement using Ω−,O−, or Θ_− notation.

12x2≤|3x2−80x+71|≤3|x2| for all real numbers x>25.