10. The graphs of the derivatives of the functions and are shown above. Which of the functions or f, g, h f, g h have a relative maximum on the open interval ? only only only and only and a. b. c d. e. f g . h f g f, g, h 11. If is the function defined by , what are all the of points of inflections for f x-coordinates the graph of f? a. b. 0 c. 1 d. 0 and 1 e. , 0 and 1 12. The absolute maximum value of on the closed interval occurs at a. 4 b. 2 c. 1 d. 0 e. 13. Let and let have derivative critical numbers at 0, and 2. Use the second –2, derivative test to determine which critical number(s), if any, give a relative minimum. a. b. 2 c. 0 d. and 2 e. 0 and -2 –2 –2 No Calculator --- No Calculator --- No Calculator --- No Calculator --- No Calculator --- No Calculator Let be a function defined and continuous on the closed interval [a, If has a relative maximum at 14. f b]. f c and < < of the following must be true? a c b, I. must exist. II. If exists, then . III. If exists, then . II only III only I and II only I and III only II and III only a. b. c. d. e.
10. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f, g or h have a relative maximum on the open interval ? a. f only b. g only c . h only d. f and g only e. f, g, and h 11. If f is the function defined by , what are all the x-coordinates of points of inflections for the graph of f? a. b. 0 c. 1 d. 0 and 1 e. , 0 and 1 12. The absolute maximum value of on the closed interval occurs at a. 4 b. 2 c. 1 d. 0 e. 13. Let and let have derivative critical numbers at –2, 0, and 2. Use the second derivative test to determine which critical number(s), if any, give a relative minimum. a. –2 b. 2 c. 0 d. –2 and 2 e. 0 and -2 No Calculator --- No Calculator --- No Calculator --- No Calculator --- No Calculator --- No Calculator 14. Let f be a function defined and continuous on the closed interval [a, b]. If f has a relative maximum at c and a < c < b, of the following must be true? I. must exist. II. If exists, then . III. If exists, then . a. II only b. III only c. I and II only d. I and III only e. II and III only
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