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  3. analyze the polynomial function f(x) = (x + 7)2 (5

Analyze the polynomial function f(x) = (x + 7)2 (5-x) using parts (a) through (e).(a)...

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Analyze the polynomial function f(x) = (x + 7)2 (5-x) using parts (a) through (e).(a) Determine the end behavior of the graph of the function.The graph of f behaves like y= for large values of Ix.(b) Find the x- and y-intercepts of the graph of the function.The x-intercept(s) is/are(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(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(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 the x-axis at x = The greater zero of the function is of multiplicity so the graph of f the x-axis at x =

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