Use the given graph of the derivative f' of a continuous function f over the interval (0, 9) to find the following. y. y = f'(x) -2- 4 6 8 x -2 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) On what interval(s) is f decreasing? (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.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Use the given graph of the derivative f' of a continuous function f over the interval (0, 9) to find the following.
yA
y = f'(x)
-2-
2
4
-2,
(a) On what interval(s) is f increasing? (Enter your answer using interval notation.)
On what interval(s) is f decreasing? (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.)
(d) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.)
X =
Transcribed Image Text:Use the given graph of the derivative f' of a continuous function f over the interval (0, 9) to find the following. yA y = f'(x) -2- 2 4 -2, (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) On what interval(s) is f decreasing? (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.) (d) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.) X =
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