2. Answer the following questions about the function whose derivative is f'(x) (x-5) (x+8). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) off is/are x 5, 8 (Simplify your answer. Use a comma to separate answers as needed.) O B. The function f has no critical points. b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) O A. The function is increasing on the open interval(s) and decreasing on the open interval(s) O B. The function f is increasing on the open interval(s) and never decreasing O C. The function f is decreasing on the open interval(s) and never increasing c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no local maximum. Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no local minimum.
2. Answer the following questions about the function whose derivative is f'(x) (x-5) (x+8). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) off is/are x 5, 8 (Simplify your answer. Use a comma to separate answers as needed.) O B. The function f has no critical points. b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) O A. The function is increasing on the open interval(s) and decreasing on the open interval(s) O B. The function f is increasing on the open interval(s) and never decreasing O C. The function f is decreasing on the open interval(s) and never increasing c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no local maximum. Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no local minimum.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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