(a) Investigate the family of polynomials given by the equation fsxd cx 4 2 2x 2 1 1
Chapter 4, Problem 39(choose chapter or problem)
(a) Investigate the family of polynomials given by the equation fsxd cx 4 2 2x 2 1 1. For what 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 1 2 x 2 . Illustrate by graphing this parabola and several members of the family.
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