Analyze the polynomial function f(x) = x(x + 4) using parts (a) through (e).(a) Determine...
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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 = x3 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, so the graph of fat x =the x-axis at x =The greater zero of the function is of multiplicity, so the graph of fthe x-axis
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