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

 

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Analyze the polynomial function f(x) = (x + 2)2(x-7)2 using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph off 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) off 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 is a zero of multiplicity so the graph of f (d) Determine the maximum number of turning points on the graph of the function. (Type a whole number.) (e) Use the above information to draw a complete graph of the function the x-axis at x: The greater zero is a zero of multiplicity, so the graph of f the x-axis at x = Analyze the polynomial function f(x) = (x + 2)2(x-7)2 using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph off 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) off 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 is a zero of multiplicity so the graph of f (d) Determine the maximum number of turning points on the graph of the function. (Type a whole number.) (e) Use the above information to draw a complete graph of the function the x-axis at x: The greater zero is a zero of multiplicity, so the graph of f the x-axis at x =

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