The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 sx s 9.) y A y= f'(x) 2 4 9. (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) On what interval(s) is f concave downward? (Enter your answer using interval notation.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0sxs 9.)
y= f'(x)
2
4'
(a) On what interval(s) is fincreasing? (Enter your answer using interval notation.)
(b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)
x =
At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
X =
(c) On what interval(s) is f concave upward? (Enter your answer using interval notation.)
On what interval(s) is f concave downward? (Enter your answer using interval notation.)
Transcribed Image Text:The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0sxs 9.) y= f'(x) 2 4' (a) On what interval(s) is fincreasing? (Enter your answer using interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) On what interval(s) is f concave downward? (Enter your answer using interval notation.)
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