Answer Happy

dlways a slope of zero. True False 4. If a function y = f(x) has a derivative of zero at x = C, then y = f(x) has a local max/min at x = c. True False 5. The absolute (global) minimum of the function f(x) = x-3 on the interval -15x52 is -4. True False 6. Given the graph of y = fx) on the right, a) Determine the number of critical values for the graph of y = f(x). 4 0 b) Determine the number of points of inflection for the graph of f(x). c) State the number of local maximum and the number local minimum of the graph. 2

8. Describe the sequence of steps that you would follow in order to determine the optimal value of a function. Start by explaining what it means by the "optimal value" first. [3] I 9. Explain how you can use the 1" derivative of a function to decide whether a local maximum or a local minimum exists at a critical point. Include diagrams with your explanation. [3]