Use the graph of f' to identify the critical numbers of f, identify the open interval (s) on which fis increasing or decreasing, and determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (If an answer does not exist, enter DNE.) (a) (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) 2 X (i Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.) (2, oo) increasing (-oo, 2) decreasing X (ii Determine whether fhass a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum X relative maximum 2 X (Ь () Identify the critical numbers of f. (Enter your answers as a comma-separated list.) x = X (ii) Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.) increasing X decreasing X (iii Determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum х 3 relative maximum х 3 X (c) (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) X = X (ii) Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.) increasing X decreasing X (iii) Determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum х 3 X relative maximum X

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Use the graph of f' to identify the critical numbers of f, identify the open interval (s) on which fis increasing or decreasing, and determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (If an answer does not exist, enter DNE.)
(a)
(i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)
2
X
(i Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.)
(2, oo)
increasing
(-oo, 2)
decreasing
X
(ii Determine whether fhass a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.)
relative minimum
X
relative maximum
2
X
(Ь
Transcribed Image Text:Use the graph of f' to identify the critical numbers of f, identify the open interval (s) on which fis increasing or decreasing, and determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (If an answer does not exist, enter DNE.) (a) (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) 2 X (i Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.) (2, oo) increasing (-oo, 2) decreasing X (ii Determine whether fhass a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum X relative maximum 2 X (Ь
() Identify the critical numbers of f. (Enter your answers as a comma-separated list.)
x =
X
(ii) Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.)
increasing
X
decreasing
X
(iii Determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.)
relative minimum
х 3
relative maximum
х 3
X
(c)
(i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)
X =
X
(ii) Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.)
increasing
X
decreasing
X
(iii) Determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.)
relative minimum
х 3
X
relative maximum
X
Transcribed Image Text:() Identify the critical numbers of f. (Enter your answers as a comma-separated list.) x = X (ii) Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.) increasing X decreasing X (iii Determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum х 3 relative maximum х 3 X (c) (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) X = X (ii) Identify the open interval(s) on which fis increasing or decreasing. (Enter your answer using interval notation.) increasing X decreasing X (iii) Determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum х 3 X relative maximum X
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