The figure shows graphs (in blue) of several members of the family of polynomials f(x) = cx
Question:
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).
Transcribed Image Text:
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
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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