(a) Investigate the family of polynomials given by the equation fsxd 2x 3 1 cx 2 1 2x
Chapter 4, Problem 40(choose chapter or problem)
(a) Investigate the family of polynomials given by the equation fsxd 2x 3 1 cx 2 1 2x. For what values of c does the curve have maximum and minimum points? (b) Show that the minimum and maximum points of every curve in the family lie on the curve y x 2 x 3 . Illustrate by graphing this curve and several members of the family.
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