Analyze the polynomial function f(x) = x²(x + 4) using parts (a) through (e). (a) Determine the end behavior of the graph of the

Question

Analyze the polynomial function f(x) = x²(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 f
at x =
the x-axis at x =
The greater zero of the function is of multiplicity, so the graph of f
the x-axis

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