Question: (4) (10 points) Analyze the polynomial function f(x) = x(x2 - 9)(x + 3) using parts (a) through (d). (a) Determine the end behavior of

(4) (10 points) Analyze the polynomial function f(x) = x(x2 - 9)(x + 3) using parts (a) through (d). (a) Determine the end behavior of the graph of the function b) Find the x- and y-intercepts of the graph of the function. 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. (d) Use the above information to draw a complete graph of the function. of y - 9 -8 -5 6 -5 4 3 2 1 x-intercepts/zeros: y-intercept: multiplicity of each zero

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