Example 1

Determine the end behavior, maximum number of turning points, and maximum number of real roots of the function [math]f(x) = 6x^5 – 3x^4 + 2x + 7[/math].
[list=1][br][*]Identify the leading coefficient and degree of the polynomial function.[br][/*][*]Determine the end behavior of the function.[br][/*][*]Determine the maximum number of turning points of the polynomial function.[br][/*][*]Determine the maximum number of real roots of the polynomial function.[br][/*][/list][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com/]www.walch.com[/url] for more information.

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