Let f(x) = x 3 , g(x) = (x - 4) 3 , and h(x) = x

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Let f(x) = x3, g(x) = (x - 4)3, and h(x) = x3 - 4.

(A) How are the graphs of f, g, and h related? Illustrate your conclusion by graphing f, g, and h on the same coordinate axes.

(B) How would you expect the graphs of the derivatives of these functions to be related? Illustrate your conclusion by graphing f =, g′, and h′ on the same coordinate axes.

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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