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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f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2)

Find the

(a)  intervals on which 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;                                                                             

Sketch the graph of  and show all details on the graph.

 

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