Answer the following questions about the function whose derivative is f'(x) = (x + 2) e - 3x 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 or minimum values? a. What are the critical points of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The critical point(s) off is/are x (Simplify your answer. Use a comma to separate answers as needed.) O B. The function f has no critical points b. On what open intervals is f increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice O A. The function f is increasing on the open interval(s) and decreasing on the open interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) O B. The function f is decreasing on the open interval(s) and never increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) O C. The function f is increasing on the open interval(s) and never decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) c. At what points, if any, does f assume local maximum or minimum values? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is no local minimum value. The local maximum value(s) is/are at x (Simplify your answer. Use a com to separate nswers as needed.) O B. The local maximum value(s) is/are at x The local minimum value(s) is/are at x (Simplify your answers. Use a comma to separate answers as needed.) O C. There is no local maximum value. The local minimum value(s) is/are at x (Simplify your answer. Use a comma to separate answers as needed.) O D. There are no local maximum or minimum values.
Answer the following questions about the function whose derivative is f'(x) = (x + 2) e - 3x 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 or minimum values? a. What are the critical points of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The critical point(s) off is/are x (Simplify your answer. Use a comma to separate answers as needed.) O B. The function f has no critical points b. On what open intervals is f increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice O A. The function f is increasing on the open interval(s) and decreasing on the open interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) O B. The function f is decreasing on the open interval(s) and never increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) O C. The function f is increasing on the open interval(s) and never decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) c. At what points, if any, does f assume local maximum or minimum values? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is no local minimum value. The local maximum value(s) is/are at x (Simplify your answer. Use a com to separate nswers as needed.) O B. The local maximum value(s) is/are at x The local minimum value(s) is/are at x (Simplify your answers. Use a comma to separate answers as needed.) O C. There is no local maximum value. The local minimum value(s) is/are at x (Simplify your answer. Use a comma to separate answers as needed.) O D. There are no local maximum or minimum values.
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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Transcribed Image Text:Answer the following questions about the function whose derivative is f'(x) = (x + 2) e - 3x
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 or minimum values?
a. What are the critical points of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The critical point(s) off is/are x
(Simplify your answer. Use a comma to separate answers as needed.)
O B. The function f has no critical points
b. On what open intervals is f increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice
O A. The function f is increasing on the open interval(s)
and decreasing on the open interval(s)
(Type your answers in interval notation. Use a comma to separate answers as needed.)
O B. The function f is decreasing on the open interval(s)
and never increasing.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O C. The function f is increasing on the open interval(s)
and never decreasing.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
c. At what points, if any, does f assume local maximum or minimum values? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is no local minimum value. The local maximum value(s) is/are at x
(Simplify your answer. Use a com
to separate nswers as needed.)
O B. The local maximum value(s) is/are at x
The local minimum value(s) is/are at x
(Simplify your answers. Use a comma to separate answers as needed.)
O C. There is no local maximum value. The local minimum value(s) is/are at x
(Simplify your answer. Use a comma to separate answers as needed.)
O D. There are no local maximum or minimum values.
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