Using the Intermediate Value Theorem, show for the function f (x) = x^3 − 4x^2 + 3 that f (x) = 0 has at least TWO solutions on the interval [−2, 4]. Hint: find two different intervals which don’t overlap, [a, b] and [c, d], inside of [−2, 4], and apply the Intermediate Value Theorem on each one.

Using the Intermediate Value Theorem, show for the function f (x) = x^3 − 4x^2 + 3 that f (x) = 0 has at least TWO solutions on the interval [−2, 4]. Hint: find two different intervals which don’t overlap, [a, b] and [c, d], inside of [−2, 4], and apply the Intermediate Value Theorem on each one.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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