Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. 4x f(X) = (x+ 1) e *

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 31SBE: When Limiting Values Occur Suppose S(t) represents the average speed, in miles per hour, for a...
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Find the intervals on which f(X) is increasing, the intervals on which f(X) is decreasing, and the local extrema.
4x
Compute the derivative of f(x).
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The function is increasing on
(Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
O B. The function is never increasing.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The function is decreasing on
(Type your answer using interval notation, Type integers or simplified fractions, Use a comma to separate answers as needed.)
O B. The function is never decreasing.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type exact answers.)
O A. The function has a local minimum f
and no local maximum.
O B. The function has a local maximum f
and a local minimum
O C. The function has a local maximum f()
and no local minimum.
O D. The function has no local extrema.
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Transcribed Image Text:P * 00 因 #3 Find the intervals on which f(X) is increasing, the intervals on which f(X) is decreasing, and the local extrema. 4x Compute the derivative of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is decreasing on (Type your answer using interval notation, Type integers or simplified fractions, Use a comma to separate answers as needed.) O B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type exact answers.) O A. The function has a local minimum f and no local maximum. O B. The function has a local maximum f and a local minimum O C. The function has a local maximum f() and no local minimum. O D. The function has no local extrema. ɔ search N +Do F5 F7 F8 F10 F11 6 F13 %$4 4. & *- %23 9 6
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