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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Related Book For  book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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