Analyze the polynomial function f(x) = 4x (x²-9) (x + 5) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph off behaves like y = for large values of x. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are. (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 (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 whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) of fis/are. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) Starting from least to greatest, the first zero of the function is of multiplicity, so the graph of f ▼the x-axis at x =. The second zero of the function is of multiplicity, so the graph of f of the function is of multiplicity, so the graph of f ▼the x-axis at x =. The fourth zero of the function is of multiplicity, so the graph of f ▼the x-axis at x = (d) Determine the maximum number of turning points on the graph of the function. (Type a whole number.) (e) Use the above information to draw a complete graph of the function. Choose the correct graph below. O A. 4100+ 4100 Q O B. 4100 Q ✔ OC. 4100 ¹4100 Q Q O D. 4100 4100 Q ✓ the x-axis at x = . The third zero

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