Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4 + x - 6 = 0, (1,2) f(x) = x + x - 6 is --Select- v on the closed interval [1, 2], f(1) = Intermediate Value Theorem. Thus, there is a --Select-- v of the equation x + x Since -4 < ? v < 12, there is a number c in (1, 2) such that f(c) = ? v by the and f(2) = 6 = 0 in the interval (1, 2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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P. 29

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
x4 + x - 6 = 0, (1, 2)
f(x) = x4 + x – 6 is
--Select-- on the closed interval [1, 2], f(1) =
and f(2) =
Since -4 < ? - < 12, there is a number c in (1, 2) such that f(c) = ?
v by the
Intermediate Value Theorem. Thus, there is a --Select---
of the equation x4 + x – 6 = 0 in the interval (1, 2).
Transcribed Image Text:Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4 + x - 6 = 0, (1, 2) f(x) = x4 + x – 6 is --Select-- on the closed interval [1, 2], f(1) = and f(2) = Since -4 < ? - < 12, there is a number c in (1, 2) such that f(c) = ? v by the Intermediate Value Theorem. Thus, there is a --Select--- of the equation x4 + x – 6 = 0 in the interval (1, 2).
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