For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the \( x \)-axis at each \( x \)-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of \( f \) resembles for large values of \( |x| \). \( f(x)=-4\left(x+\frac{1}{2}\right)^{2}(x+4)^{3} \) (a) Find any real zeros of \( f \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The real zero(s) of \( f \) is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros.
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