Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4+x-7-0, (1, 2) f(x)=x²+x-7 is-Select--on the closed interval [1, 2], f(1) = , and f(2)= . Since -5 < ?< 11, there is a number c in (1, 2) such that f(c) = ? by the Intermediate Value Theorem. Thus, there is a ---Select--of the equation x4 + x - 7= 0 in the interval (1, 2).

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4+x-7-0, (1, 2) f(x)=x²+x-7 is-Select--on the closed interval [1, 2], f(1) = , and f(2)= . Since -5 < ?< 11, there is a number c in (1, 2) such that f(c) = ? by the Intermediate Value Theorem. Thus, there is a ---Select--of the equation x4 + x - 7= 0 in the interval (1, 2).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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