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(b) n is a p 27-30 True-False Determine whether the statement is true or false. Explain your answer. 27. Suppose that f(x) = P(x)/Q(x), where

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(b) n is a p 27-30 True-False Determine whether the statement is true or false. Explain your answer. 27. Suppose that f(x) = P(x)/Q(x), where P and Q are poly- nomials with no common factors. If y = 5 is a horizontal asymptote for the graph of f, then P and O have the same degree. 28. If the graph of f has a vertical asymptote at x = 1, then f cannot be continuous at x = 1. 29. If the graph of f' has a vertical asymptote at x = 1, then f cannot be continuous at x = 1. loudgang 30. If the graph of f has a cusp at x = 1, then f cannot have an inflection point at x = 1. 31-38 Give a graph of the function and identify the locations of all critical points and inflection points. Check your work with a graphing utility. 31. V4x2 - 1 32. Vx2 - 4 33. 2x + 3x2/3 34 . 2x 2 - 3.x 4/3 35. 4x 1/3 _x4/3 36. 5x2/3 + x 5/3

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