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Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that f(x) has a root in the interval (0, 1).

Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that f(x) has a root in the interval (0, 1).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine whether the Intermediate Value Theorem can be used to show that f(x) has a root in the interval (0,1).

i) if f positive negative continuous or discontinuous?

ii) f(0) = ?

iii) f(1) = ?

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Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that f(x) has a root in the interval (0, 1). Answer: Since: i) fis ? ii) f(0) = iii) f(1) = on [0, 1], the Intermediate Value Theorem ? and ✓ be used to show that f(x) has a root in the interval (0, 1).
Transcribed Image Text:Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that f(x) has a root in the interval (0, 1). Answer: Since: i) fis ? ii) f(0) = iii) f(1) = on [0, 1], the Intermediate Value Theorem ? and ✓ be used to show that f(x) has a root in the interval (0, 1).
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