iu Analyze the polynomial function f(x) = 2x(x2 - 4) (x + 3) using parts (a) through (e). (a) Determine the and behavior of the graph of the function. The graph off behaves like y = [:j for large values of |x| (b) Find the x- and y-intercepis of the graph of the function. The x-intercept(s) is/are D. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is D. (Simplify your answer. Type an integer or a fraction.) (c) Determine the real zeros of the function and their multiplicity. Use this information to determine whetherthe graph crosses or touches the x-axis at each x-intercept. The zero(s) of f is/are El (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type Rach answer only once.) Starting from least to greatest, the rst zero of the function is of multiplicity D, so the graph oft ' the x-axis at x = D. The second zero of the function is of multiplicity D, so the graph 0 the x-axis at x = . The third zero of the function is of multiplicity . so the graph off 1 the x-axis at x = D. The fourth zero of the function is of multiplicity D, so the graph c the x-axis at x = E (d) Determine the maximum number of tumlng points on the graph of the function. E (Type a whole number.) (e) Use the above Information to draw a complete graph oi the function. Choose the correct graph below