Given f(x) = -x³-7x² - 8x + 16 = (x+4) (4-3x-x2²). Find the (a) intervals on which f is decreasing and increasing as well as the critical values of f(x), if any; (4) (b) coordinates of local maximum and minimum values (if any); (2) (c) intervals on which f is concave up and concave down as well as the points of inflection, if any; (4) Sketch the graph of f(x) and show all details on the graph. (2)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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k
Given
f(x) = -x³-7x² − 8x + 16 = (x + 4) (4− 3x - x²).
Find the
(a) intervals on which f is decreasing and increasing
as well as the critical
values of f(x), if any;
(4)
(b) coordinates of local maximum and minimum values (if
any);
(2)
(c) intervals on which f is concave up and concave down as
well as the
points of inflection, if any;
(4)
Sketch the graph of f(x) and show all details on the graph.
(2)
Transcribed Image Text:k Given f(x) = -x³-7x² − 8x + 16 = (x + 4) (4− 3x - x²). Find the (a) intervals on which f is decreasing and increasing as well as the critical values of f(x), if any; (4) (b) coordinates of local maximum and minimum values (if any); (2) (c) intervals on which f is concave up and concave down as well as the points of inflection, if any; (4) Sketch the graph of f(x) and show all details on the graph. (2)
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