For the function f(x) = 2x 5 - x 4 - 4x 3 + 2x 2 +
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For the function
f(x) = 2x5 - x4 - 4x3 + 2x2 + 2x - 1:
(a) Find the real zeros and their multiplicity.
(b) Find the intercepts.
(c) Find the power function that the graph of f resembles for large.
(d) Graph f using a graphing utility.
(e) Approximate the turning points, if any exist.
(f) Use the information obtained in parts (a)–(e) to sketch a graph of by hand.
(g) Identify the intervals on which is increasing, decreasing, or constant.
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