5. Let f(x) = x - 15x +1 Using the Intermediate Value Theorem show f(x) has three roots in the interval [-4,4]. In other words use the IVT to show that there exists 3 values of c such that %3D f(c) = 0. Do not find the actual values of c just show they exist.

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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Please read the question carefully and then solve.
5. Let f(a) = x - 15x +1 Using the Intermediate Value Theorem show f(x) has three roots in
%3D
the interval [-4,4]. In other words use the IVT to show that there exists 3 values of c such that
f(c) = 0. Do not find the actual values of c just show they exist.
%3D
Transcribed Image Text:5. Let f(a) = x - 15x +1 Using the Intermediate Value Theorem show f(x) has three roots in %3D the interval [-4,4]. In other words use the IVT to show that there exists 3 values of c such that f(c) = 0. Do not find the actual values of c just show they exist. %3D
Expert Solution
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The value c is exist in the interval [-4,4]

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