Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (Enter your answers for the asymptotes as comma-separated lists of equations. If an answer does not exist, enter DNE.) f(x) = x4/7 x-intercept (x, y) = 0,0 y-intercept (х, у) - 0,0 relative maximum (х, у) dne relative minimum (х, у) %3D 0.0 point of inflection (x, y) = 0.0 horizontal asymptote vertical asymptote Sketch the graph of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Please see attached screenshot with the problem and find the below:
 
(a) point of inflection
(b) horizontal asymptote
(c) vertical asymptote
Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (Enter your answers for the asymptotes as comma-separated lists of equations. If an answer does not exist, enter DNE.)
(x) = x4/7
x-intercept
(х, у) %3D
0,0
y-intercept
( 0,0
(х, у) %3D
relative maximum
(х, у) %3D
dne
relative minimum
(х, у) %3
0,0
(х, у) %3D
( 0,0
point of inflection
horizontal asymptote
vertical asymptote
Sketch the graph of the function.
Transcribed Image Text:Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (Enter your answers for the asymptotes as comma-separated lists of equations. If an answer does not exist, enter DNE.) (x) = x4/7 x-intercept (х, у) %3D 0,0 y-intercept ( 0,0 (х, у) %3D relative maximum (х, у) %3D dne relative minimum (х, у) %3 0,0 (х, у) %3D ( 0,0 point of inflection horizontal asymptote vertical asymptote Sketch the graph of the function.
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