The figure shows graphs (in blue) of several members of the family of polynomials f(x) = cx

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The figure shows graphs (in blue) of several members of the family of polynomials f(x) = cx⁴ – 4x² + 1.

(a) For which values of c does the curve have minimum points?

(b) Show that the minimum and maximum points of every curve in the family lie on the parabola y = –2x² + 1 (shown in red).

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jul 26, 2022 06:27 AM

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The figure shows graphs (in blue) of several members of the family of polynomials f(x) = cx

Question:

у 2+ 0 X

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a If c 0 then the only real solution of f 0 is 0 f changes from positive to negative at 0 ...View the full answer

Calculus Early Transcendentals

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