Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = 3x² + 12x³ +28 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) OA. The function has a local minimum f B. The function has a local maximum f C. The function has a local maximum D. The function has no local extrema. = = and no local maximum. and a local minimum f() and no local minimum.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 5CA
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Question
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.
f(x) = 3x² + 12x³ +28
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is increasing on
(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
OB. The function is never increasing.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function is decreasing on
(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
OB. The function is never decreasing.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type integers or simplified fractions.)
OA. The function has a local minimum f
B. The function has a local maximum f
C. The function has a local maximum
D. The function has no local extrema.
=
=
and no local maximum.
and a local minimum f()
and no local minimum.
Transcribed Image Text:Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = 3x² + 12x³ +28 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) OA. The function has a local minimum f B. The function has a local maximum f C. The function has a local maximum D. The function has no local extrema. = = and no local maximum. and a local minimum f() and no local minimum.
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