Use the given function and the given interval to complete parts a and b 10. f(x) 2x 36x2 - 192x on [3,9] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute maximum of f on the given interval. What is/are the absolute minimum/minima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The absolute minimum/minima is/are at x (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute minimum of f on the given interval b. Choose the correct answer below Ос. O D. O A. В. Ay 320- Ау -240 У 1700- -500- -1700 500 240 -320-

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
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Use the given function and the given interval to complete parts a and b
10.
f(x) 2x 36x2 - 192x on [3,9]
a. Determine the absolute extreme values of f on the given interval when they exist.
b. Use a graphing utility to confirm your conclusions.
a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The absolute maximum/maxima is/are
at x =
(Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
B. There is no absolute maximum of f on the given interval.
What is/are the absolute minimum/minima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The absolute minimum/minima is/are
at x
(Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
B. There is no absolute minimum of f on the given interval
b. Choose the correct answer below
Ос.
O D.
O A.
В.
Ay
320-
Ау
-240
У
1700-
-500-
-1700
500
240
-320-
Transcribed Image Text:Use the given function and the given interval to complete parts a and b 10. f(x) 2x 36x2 - 192x on [3,9] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute maximum of f on the given interval. What is/are the absolute minimum/minima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The absolute minimum/minima is/are at x (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute minimum of f on the given interval b. Choose the correct answer below Ос. O D. O A. В. Ay 320- Ау -240 У 1700- -500- -1700 500 240 -320-
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