(i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) х%3 2, 1, 4 (ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.) increasing (– 2,1)U(1,4) decreasing оо, — 2) U (4,00) (iii) Determine whether f has a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum X = 1 relative maximum X = -2,4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(d)
y
6
4
X
-6
-4
2
-2
-4
-6
(i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)
X =
2, 1, 4
(ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.)
increasing
(– 2,1)U (1,4)
decreasing
(- 00, – 2) U (4,00)
(iii) Determine whether f has a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.)
relative minimum
X =
1
-2, 4
relative maximum
X =
Transcribed Image Text:(d) y 6 4 X -6 -4 2 -2 -4 -6 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) X = 2, 1, 4 (ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.) increasing (– 2,1)U (1,4) decreasing (- 00, – 2) U (4,00) (iii) Determine whether f has a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum X = 1 -2, 4 relative maximum X =
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