Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function9Pf(x) -x9, -4sxs3Find the absolute maximum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A. The absolute maximum valueOCcurs at x =(Simplify your answers. Use a comma to separate answers as needed.)B. There is no absolute maximum.Find the absolute minimum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.O A. The absolute minimum valueOCcurs at x =(Simplify your answers. Use a comma to separate answers as needed.)B. There is no absolute minimumChoose the correct graph of the function.O C.O D.O A.O B.Ay10-10-10-10-חnתהר-1010-1010-1010-1010-10-10-10-10

Question
Asked Oct 16, 2019
33 views

Can you help me step by step?

Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function
9P
f(x) -x9, -4sxs3
Find the absolute maximum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum value
OCcurs at x =
(Simplify your answers. Use a comma to separate answers as needed.)
B. There is no absolute maximum.
Find the absolute minimum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute minimum value
OCcurs at x =
(Simplify your answers. Use a comma to separate answers as needed.)
B. There is no absolute minimum
Choose the correct graph of the function.
O C.
O D.
O A.
O B.
Ay
10-
10-
10-
10-
חnתהר
-10
10
-10
10
-10
10
-10
10
-10
-10-
10
-10
help_outline

Image Transcriptionclose

Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function 9P f(x) -x9, -4sxs3 Find the absolute maximum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum value OCcurs at x = (Simplify your answers. Use a comma to separate answers as needed.) B. There is no absolute maximum. Find the absolute minimum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum value OCcurs at x = (Simplify your answers. Use a comma to separate answers as needed.) B. There is no absolute minimum Choose the correct graph of the function. O C. O D. O A. O B. Ay 10- 10- 10- 10- חnתהר -10 10 -10 10 -10 10 -10 10 -10 -10- 10 -10

fullscreen
check_circle

Expert Answer

Step 1

Here we are given that f(x) = -x2 + 9, {-4 ≤ x ≤ 3}. We need to find the absolute maximum and minimum values of the above function on the given interval.

Note:
We say that f(x) has an absolute maximum at x
c if f (x) s f(c) for
(i)
every x in the domain we are working on
(ii)
cif f(x) 2 f(c) for
We say that f(x) has an absolute minimum at x
every x in the domain we are working on.
help_outline

Image Transcriptionclose

Note: We say that f(x) has an absolute maximum at x c if f (x) s f(c) for (i) every x in the domain we are working on (ii) cif f(x) 2 f(c) for We say that f(x) has an absolute minimum at x every x in the domain we are working on.

fullscreen
Step 2

If we draw the graph, we get, Absolute maxima...

10
(0, 9)
Absolute Maximum
5
-5
-5
(-4,-7)
Absolute minimm
O
help_outline

Image Transcriptionclose

10 (0, 9) Absolute Maximum 5 -5 -5 (-4,-7) Absolute minimm O

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

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add