For the polynomial function f (x) = 3x 4 15x 3 12x 2 + 60x

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For the polynomial function f (x) = 3x4 − 15x3 − 12x2 + 60x

(a) Determine the end behavior of the graph.

(b) Find the x- and y-intercepts of the graph.

(c) Find the real zeros and their multiplicity, and determine if the graph crosses or touches the x-axis at each intercept.

(d) Determine the maximum number of turning points on the graph.

(e) Graph the function.

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