(a) Investigate the family of polynomials given by the equa tion . For what values of

Chapter 4, Problem 40

(choose chapter or problem)

(a) Investigate the family of polynomials given by the equa tion . For what values of 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 . Illustrate by graphing this curve and several members of the family.

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