Ahalyze and sketch a graph or the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) f(x) = x2 - 81 intercept (x, y) = ( relative minimum (x, y) = relative maximum (x, y) = point of inflection (x, y) = 47 Find the equations of the asymntotes

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
x3
f(x) =
%3D
x² - 81
intercept
(х, у) %3
relative minimum
(x, y) =
relative maximum (x, y) =
point of inflection
(х, у)%3D
Find the equations of the asymptotes.
(smaller x-value)
(larger x-value)
(slant asymptote)
Use a graphing utility to verify your results.
y
20
20
10
10
X
- 20
- 10
10
20
- 20
- 10
10
20
-
10
10
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x3 f(x) = %3D x² - 81 intercept (х, у) %3 relative minimum (x, y) = relative maximum (x, y) = point of inflection (х, у)%3D Find the equations of the asymptotes. (smaller x-value) (larger x-value) (slant asymptote) Use a graphing utility to verify your results. y 20 20 10 10 X - 20 - 10 10 20 - 20 - 10 10 20 - 10 10
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