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?
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?
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 4ECP
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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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