f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a) intervals on which f is decreasing and increasing as well as the critical values of f(x), if any; (b) coordinates of local maximum and minimum values (if any); (c) intervals on which f is concave up and concave down as well as the points of inflection, if any;
f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a) intervals on which f is decreasing and increasing as well as the critical values of f(x), if any; (b) coordinates of local maximum and minimum values (if any); (c) intervals on which f is concave up and concave down as well as the points of inflection, if any;
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2)
Find the
(a) intervals on which f is decreasing and increasing as well as the critical
values of f(x), if any;
(b) coordinates of
(c) intervals on which f is concave up and concave down as well as the
points of inflection, if any;
Sketch the graph of and show all details on the graph.
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