Answer the following questions about the function whose derivative is f'(x) = (x-3) (x+ 4). a. What are the critical points of f? b. On what open intervals is fincreasing 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. O A. The critical point(s) of f is/are x = (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.) A. The function is increasing on the open interval(s) and decreasing on the open interval(s) O B. The function f is decreasing on the open interval(s) and never increasing. O C. The function f is increasing on the open interval(s) and never decreasing. 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. Answer the following questions about the function whose derivative is f'(x) = (x- 3) (x+ 4). 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? O B. The function f is decreasing on the open interval(s) and never increasing. O C. The function f is increasing on the open interval(s) and never decreasing. 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.

Answer the following questions about the function whose derivative is f'(x) = (x-3) (x+ 4). a. What are the critical points of f? b. On what open intervals is fincreasing 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. O A. The critical point(s) of f is/are x = (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.) A. The function is increasing on the open interval(s) and decreasing on the open interval(s) O B. The function f is decreasing on the open interval(s) and never increasing. O C. The function f is increasing on the open interval(s) and never decreasing. 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. Answer the following questions about the function whose derivative is f'(x) = (x- 3) (x+ 4). 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? O B. The function f is decreasing on the open interval(s) and never increasing. O C. The function f is increasing on the open interval(s) and never decreasing. 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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