The graph of the derivative f' of a function f is shown. y A y = f'(x) 2 4 (a) On what intervals is f increasing? (Enter your answer using interval notation.) (2,4) On what intervals is f decreasing? (Enter your answer using interval notation.) (0,2) U (4,6) (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) X = 6,4,2,0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The graph of the derivative f' of a function f is shown.
y = f'(x)
2
4
6.
(a) On what intervals is f increasing? (Enter your answer using interval notation.)
(2,4)
On what intervals is f decreasing? (Enter your answer using interval notation.)
(0,2) U (4,6)
(b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.)
X =
6,4,2,0
Transcribed Image Text:The graph of the derivative f' of a function f is shown. y = f'(x) 2 4 6. (a) On what intervals is f increasing? (Enter your answer using interval notation.) (2,4) On what intervals is f decreasing? (Enter your answer using interval notation.) (0,2) U (4,6) (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) X = 6,4,2,0
5
-2
1
2
4
5
6.
a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(1,3) U (4,6)
) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(0,1) U (3,4)
:) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)
[0,3] U [3,5]
d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)
[1,4]
e) Find the coordinates of the point(s) of inflection.
(х, у) -
( 3,4
3.
4-
3.
Transcribed Image Text:5 -2 1 2 4 5 6. a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (1,3) U (4,6) ) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (0,1) U (3,4) :) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.) [0,3] U [3,5] d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.) [1,4] e) Find the coordinates of the point(s) of inflection. (х, у) - ( 3,4 3. 4- 3.
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