Question: For the problem below, graph the polynomial function. Determine the x-intercepts, whether the graph crosses or is tangent to the x-axis at each x-intercept, the

For the problem below, graph the polynomial function. Determine the x-intercepts, whether the graph crosses or is tangent to the x-axis at each x-intercept, the number of turning points, and the number and type (global, or local but not global) of any maximum or minimum values.

[Information I could find]

x intercepts (x1= -7, x2=0, x3=4)
relative maximum: 62 sqrt93 - 270/9 at x=-3+sqrt93/3
relative minimum: - 270+62 sqrt93/9 at x= -3- sqrt93/3

f(x) = -x(x+7)(x-4)

(to see full graph with all points, use Demos graphing calculator.

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