Analyze the polynomial function f(x) = x(x+4) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like y=x for large values of |x|. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are 0, -4. (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 0. (Simplify your answer. Type an integer or a fraction.) (c) Determine the 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 f is/are 0, -4. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity at x= so the graph of f the x-axis at x= The greater zero of the function is of multiplicity so the graph of f the x-axis