(a) Investigate the family of polynomials given by the equation f(x) = cx4 cx2 + 1....
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(b) Show that the minimum and maximum points of every curve in the family lie on the parabola y = 1 – x2. Illustrate by graphing this parabola and several members of the family.
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a fx cr 2x 1 For c 0 fx 2r 1 a parabola whose vertex 0 1 is the absolute ...View the full answer
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