(a) Sketch a graph of f(x) = x4 17x2 + 36x 20 for 10 x 10, 10 y 10. (b) Your graph

Chapter 11, Problem 52

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(a) Sketch a graph of f(x) = x4 17x2 + 36x 20 for 10 x 10, 10 y 10. (b) Your graph should appear to have a vertical asymptote at x = 5. Does f actually have a vertical asymptote here? Explain. (c) How many zeros does f have? Can you find a window in which all of the zeros of f are clearly visible? (d) Write the formula of f in factored form. (e) How many turning points does the graph of f have? Can you find a window in which all the turning points of f are clearly visible? Explain.

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