Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling all local extrema, inflection points, and asymptotes. Afterwards, explicitly state the intervals of increase, decrease, and concavity. • The domain of f(x) is (-∞, ∞) ƒ'(x) = 5x²(x² − 3) f"(x) = 10x (2x² – 3) ● ● f(0) = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Sketch the graph of a single function f(x) that
satisfies all of the following conditions, labeling all
local extrema, inflection points, and asymptotes.
Afterwards, explicitly state the intervals of
increase, decrease, and concavity.
• The domain of f(x) is (-∞, ∞)
f'(x) = 5x²(x² − 3)
f"(x) = 10x (2x² – 3)
●
●
• f(0) = 0
Transcribed Image Text:Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling all local extrema, inflection points, and asymptotes. Afterwards, explicitly state the intervals of increase, decrease, and concavity. • The domain of f(x) is (-∞, ∞) f'(x) = 5x²(x² − 3) f"(x) = 10x (2x² – 3) ● ● • f(0) = 0
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