Repeat Exercise 73 for the function f(x) = 3.7x 4 5.03x 3 + 2x 2

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Repeat Exercise 73 for the function f(x) = 3.7x4 − 5.03x3 + 2x2 − 0.7



Data from Exercises 73


Given the function f(x) = 2x3 + 3x2 − 12x − 7, complete these steps:


a. Graph using [−10, 10]1 by [−10, 10]1 and [−10, 10]1 by [−20, 20]2.


b. Fill in this table:


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c. Approximate the x intercepts and y intercept to two decimal places.


d. Find the relative maximum and relative minimum points.


e. Find the intervals over which f (x) is increasing.


f. Find the intervals over which f(x) is decreasing.


g. Find any inflection points.


h. Find the intervals over which the graph of f(x) is concave upward.i. Find the intervals over which the graph of f(x) is concave downward.


j. Show that the concavity changes from upward to downward, or vice versa, when x moves from a little less than the point of inflection to a little greater than the point of inflection.


k. Find the largest and smallest values for this function for −4 ≤ x ≤ 2.

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Related Book For  book-img-for-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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