Use the given function and the given interval to complete parts a and b. f(x) = 2x³ - 36x² + 192x on [3,9] a. What is/are the absolute maximum/maxima off on the given interval? Select the correct choice below and, if necessary, fill in to complete your choice. OA. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) OB. 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 complete your choice. OA. The absolute minimum/minima is/are at x = (Use a comma separate answers as needed. Type OB. There is no absolute minimum of f on the given interval. b. Choose the correct answer below. O A. Ay 320- O B. Ау 1700- Q answers, using radicals as needed.) O C. Ау -500- O D. -240-

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Use the given function and the given interval to complete parts a and b.
f(x) = 2x³ - 36x² + 192x on [3,9]
a. What is/are the absolute maximum/maxima off on the given interval? Select the correct choice below and, if necessary, fill in the answer box
to complete your choice.
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.
OA. 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.
O A.
320-
240+
B.
1700-
y
500+
O C.
-500-
NV
O D.
-1700-
-240-
-320-
Transcribed Image Text:Use the given function and the given interval to complete parts a and b. f(x) = 2x³ - 36x² + 192x on [3,9] a. What is/are the absolute maximum/maxima off on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 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. OA. 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. O A. 320- 240+ B. 1700- y 500+ O C. -500- NV O D. -1700- -240- -320-
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