-4 M -2 2 4 6 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) x= -1,1,3 (ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.) increasing (-1,0) U (0,3) X decreasing (-∞, -1 - 1) U (3,00) (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 1 X = relative maximum X = -3 X -6 X

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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(d)
y
-2
6
2
-6
-4
4
6
-2
-4
-6
(i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)
X = -1,1,3
(ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.)
increasing
(−1,0) U (0,3)
decreasing
(−∞, − 1) U (3,∞)
(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
-3
X =
X
2
Transcribed Image Text:(d) y -2 6 2 -6 -4 4 6 -2 -4 -6 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) X = -1,1,3 (ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.) increasing (−1,0) U (0,3) decreasing (−∞, − 1) U (3,∞) (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 -3 X = X 2
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