f(x) = x⁹ - 9x intercepts relative minimum relative maximum point of inflection (x, y) = (-1.316,0 or (-4√3,0) (x, y) = (0,0 (x, y) = (1.316,0 or (4√3,0) ) (largest x-value) X (x, y) (x, y) = (1, -8 (x, y) = (-1,8 (x, y) = (0,0 x ) (smallest x-value)
f(x) = x⁹ - 9x intercepts relative minimum relative maximum point of inflection (x, y) = (-1.316,0 or (-4√3,0) (x, y) = (0,0 (x, y) = (1.316,0 or (4√3,0) ) (largest x-value) X (x, y) (x, y) = (1, -8 (x, y) = (-1,8 (x, y) = (0,0 x ) (smallest x-value)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.)
f(x) = x⁹9x
intercepts
relative minimum
relative maximum
point of inflection
(x, y) = (-1.316,0 or (-4√3,0)
(x, y) = (0,0
(x, y) = (1.316,0 or (4√3,0)
(x, y) = (1,8
(x, y) = (-1,8
(x, y) = (0,0
)
Find the equation of the asymptote.
DNE
X
X
) (smallest x-value)
) (largest x-value)
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