Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) = x 1/3(x2 - 252) 400+ 200+ -10 10 20 X 200+ 400+ A) Rel max: (-6, 216 6), Rel min: (6, -216 6) Inflection point: (0,0) 400+ 200 -20 -10 10 20 X -200 400 B) Rel min: (0, 0) No inflection points 400 200+ 20 -10 10 20 X -200+ to

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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Sketch the graph and show all extrema, inflection points, and asymptotes where applicable.
1) f(x) = x1/3(x2 - 252)
400+
200+
-20
-10
10
20 X
200+
400+
A) Rel max: (-6, 216 6), Rel min: (6, -216 6)
Inflection point: (0,0)
400+
200
-20
-10
10
20 X
200
400
B) Rel min: (0, 0)
No inflection points
400
200+
%+
20X
20
-10
10
-200+
to
Transcribed Image Text:Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) = x1/3(x2 - 252) 400+ 200+ -20 -10 10 20 X 200+ 400+ A) Rel max: (-6, 216 6), Rel min: (6, -216 6) Inflection point: (0,0) 400+ 200 -20 -10 10 20 X 200 400 B) Rel min: (0, 0) No inflection points 400 200+ %+ 20X 20 -10 10 -200+ to
C) Rel max: (0,0), Rel min: (108, - 54)
Inflection point: (s6, – 10)
400+
200
20
40
20 X
-200+
400+
D) No extrema
Inflection point: (0, 0)
400+
200
%+
20X
20
-10
10
200
400
Transcribed Image Text:C) Rel max: (0,0), Rel min: (108, - 54) Inflection point: (s6, – 10) 400+ 200 20 40 20 X -200+ 400+ D) No extrema Inflection point: (0, 0) 400+ 200 %+ 20X 20 -10 10 200 400
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