For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) Determine the coordinates of the turning points.  (ii) Determine the coordinates for the point of inflection if it does exist.  (iii) What is the range of value over which the function is decreasing? (iv) What is the range of values over which the function is strictly concave downwards?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
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For the function:    

F(x) = x3/3 – 3/4x2 – 27/2x +39



(i) Determine the coordinates of the turning points. 
(ii) Determine the coordinates for the point of inflection if it does exist. 
(iii) What is the range of value over which the function is decreasing?
(iv) What is the range of values over which the function is strictly concave downwards?

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