Use the given function and the given interval to complete parts a and b10.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/areat 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 choiceO A. The absolute minimum/minima is/areat 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 intervalb. Choose the correct answer belowОс.O D.O A.В.Ay320-Ау-240У1700--500--1700500240-320-

Question
Asked Oct 16, 2019
19 views

Can you help me step by step?

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-
help_outline

Image Transcriptionclose

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-

fullscreen
check_circle

Expert Answer

Step 1

 

 

Differentiate f(x) wrt x and find f '(x)

 

help_outline

Image Transcriptionclose

f(x)= -2x+36x-192x 192.x f (x)=-6x+ 72x-192

fullscreen
Step 2

Now equate f '(x)=0 and find x to get the critical points

help_outline

Image Transcriptionclose

(x)= 0 -6x272x-192 = 0 x4,8 [3,9

fullscreen
Step 3

Calculate value of f(x) at critical points and at closed intervals i.e. x = 3,4,8,9

f(x) is absolute minimum at x = 4  an...

help_outline

Image Transcriptionclose

f(x)-2r36r2 -192.x f(3) =-306 f(4)-320 f(8)= -256 f(9)= -270

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus