Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of inflection. (Order your answers from smallest to largest x, then from If an answer does not exist, enter DNE.) f(x)=x√ 36-x² (x, y) = intercepts relative minimum relative maximum point of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = 0,0 Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) Use a graphing utility to verify your results.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y.
If an answer does not exist, enter DNE.)
f(x)=x√ 36x²
intercepts
relative minimum.
relative maximum
point of inflection
(x, y) =
(x, y) =
(x, y) =
(x, y) =
(x, y) =
(x, y) =
0,0
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
Use a graphing utility to verify your results.
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) f(x)=x√ 36x² intercepts relative minimum. relative maximum point of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = 0,0 Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) Use a graphing utility to verify your results.
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