Mathematics 31 - Module 5 Assignment Booklet 8 3. Determine the extreme values of the function f (x) = x -8x +9, where -15 x 5. What is the absolute minimum and the absolute maximum? Draw the graph. f (x ) Mathematics 31 - Module 5 Assignment Booklet 2 4. Give an example of a function for which f'(x ) =0 does not yield a minimum or maximum. 15 Section 4 Assignment: The Second Derivative Read all the parts of your assignment carefully and record your answers in the appropriate place. 3 1. Using the second derivative, determine where f (x) = x (1-x ) is concave upward. 4 2. Use the Second Derivative Test to show that (3, 27 ) is a maximum point on the graph of f ( x)=x (4-x). Mathematics 31 - Module 5 10 Assignment Booklet 6 3. Determine the point of inflection, if it exists, on the graph of y = 5x3 +4x