Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) = x1/3(x2 - 252) 400+ 200+ -10 10 20 X 200+ A) Rel max: (-6, 216 6), Rel min: (6, -216 T6) Inflection point: (0,0) 400+ 200 -20 -10 10 20 X 200 B) Rel min: (0, 0) No inflection points 400 200+ %+ 20 X -20 -10 10 -200+ 400+

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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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+
-10
10
20 X
-200+
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
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+ -10 10 20 X -200+ 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
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