webassi The graph of the derivative f of a function f over the interval (0, 16) is shown. y =f (x) 4 9. 8. 10 12 14 16 18 (a) What are the critical numbers of f in the interval (0, 16)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (b) On what interval is fincreasing? On what intervals is f decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: (c) At what values of x does f have a relative maximum value? A relative minimum value? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f has a relative maximum value at x f has a relative minimum value at x = (d) On what interval is / concave upward? On what intervals is f concave downward? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Concave upward:

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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9 Applications of X
Instant + Auton X
9 Concise Stude X
myFSC
X Cent
a webassign.net
The graph of the derivative f'of a function f over the interval (0, 16) is shown.
y = f (x)
2.
4
10 12 14 16 18
(a) What are the critical numbers of f in the interval (0, 16)? (Enter your answers as a comma-separated Ilist. If an
answer does not exist, enter DNE.)
(b)
On what interval is f increasing? On what intervals is f decreasing? (Enter your answer using interval notation. If an
answer does not exist, enter DNE.)
Increasing:
Decreasing:
(c) At what values of x does f have a relative maximum value? A relative minimum value? (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f has a relative maximum value at x =
f has a relative minimum value at x =
(d) On what interval is f concave upward? On what intervals is f concave downward? (Enter your answer using interval
notation. If an answer does not exist, enter DNE.)
Con
upwa
Concave downward:
(e) What are the x-coordinate(s) of the inflection points of f? (Enter your answers as a comma-separated list. If an
answer does not exist, enter DNE.)
Transcribed Image Text:9 Applications of X Instant + Auton X 9 Concise Stude X myFSC X Cent a webassign.net The graph of the derivative f'of a function f over the interval (0, 16) is shown. y = f (x) 2. 4 10 12 14 16 18 (a) What are the critical numbers of f in the interval (0, 16)? (Enter your answers as a comma-separated Ilist. If an answer does not exist, enter DNE.) (b) On what interval is f increasing? On what intervals is f decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: (c) At what values of x does f have a relative maximum value? A relative minimum value? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f has a relative maximum value at x = f has a relative minimum value at x = (d) On what interval is f concave upward? On what intervals is f concave downward? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Con upwa Concave downward: (e) What are the x-coordinate(s) of the inflection points of f? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
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