a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. f(x)=x1/5 (x²-25) C*** a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function is increasing on the open interval(s). (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use comma to separate answers as needed.) OB. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function is decreasing on the open interval(s) (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use comma to separate answers as needed.) OB. The function is never decreasing. b. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Simplify your answers. Type exact answers, using radicals as needed.) OA. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f() OB. The function has a local maximum value at one value of x. The maximum value is f( Than non no lonal mavima = and fl = OC. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are a f(1) = f(1) = [ and
a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. f(x)=x1/5 (x²-25) C*** a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function is increasing on the open interval(s). (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use comma to separate answers as needed.) OB. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function is decreasing on the open interval(s) (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use comma to separate answers as needed.) OB. The function is never decreasing. b. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Simplify your answers. Type exact answers, using radicals as needed.) OA. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f() OB. The function has a local maximum value at one value of x. The maximum value is f( Than non no lonal mavima = and fl = OC. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are a f(1) = f(1) = [ and
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 11CYU
Related questions
Question
![a. Find the open interval(s) on which the function is increasing and decreasing.
b. Identify the function's local and absolute extreme values, if any, saying where they occur.
1/5
f(x)=x
(x²-25)
a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function is increasing on the open interval(s).
(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
OB. The function is never increasing.
On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The function is decreasing on the open interval(s)
(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
B. The function is never decreasing.
b. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
(Simplify your answers. Type exact answers, using radicals as needed.)
OA. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f
B. The function has a local maximum value at one value of x. The maximum value is f
C. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f
There are no local movima
=
and f
=
if() = 1.
=
= ¯‚, f ( ▬ ) = ¯, and f(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3568b112-0fee-422f-8051-b85e6b10b1aa%2F59ca1a71-246a-4d36-a0f0-1d6e6d14f844%2Fa9c1vp_processed.png&w=3840&q=75)
Transcribed Image Text:a. Find the open interval(s) on which the function is increasing and decreasing.
b. Identify the function's local and absolute extreme values, if any, saying where they occur.
1/5
f(x)=x
(x²-25)
a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function is increasing on the open interval(s).
(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
OB. The function is never increasing.
On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The function is decreasing on the open interval(s)
(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
B. The function is never decreasing.
b. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
(Simplify your answers. Type exact answers, using radicals as needed.)
OA. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f
B. The function has a local maximum value at one value of x. The maximum value is f
C. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f
There are no local movima
=
and f
=
if() = 1.
=
= ¯‚, f ( ▬ ) = ¯, and f(
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