f(x) = x² − 7x + 26 x - 5 intercept relative minimum point of inflection y = x (x, y) = (0, relative maximum (x, y) = ( DNE (x, y) =(3, 3,-1 (x, y) = ( DNE X Find the equations of the asymptotes. x = 5 (vertical asymptote) 26 5 (slant asymptote) X )
f(x) = x² − 7x + 26 x - 5 intercept relative minimum point of inflection y = x (x, y) = (0, relative maximum (x, y) = ( DNE (x, y) =(3, 3,-1 (x, y) = ( DNE X Find the equations of the asymptotes. x = 5 (vertical asymptote) 26 5 (slant asymptote) X )
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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Question
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.)
Transcribed Image Text:f(x) = x² - 7x² 26
+
x - 5
intercept
relative minimum
relative maximum
point of inflection
y = x
(x, y) = (0,
X
(x, y) = ( DNE
(x, y) = ( DNE
(x, y) =(3, -1
Find the equations of the asymptotes.
x = 5
(vertical asymptote)
26
5
(slant asymptote)
X
)
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Step 1: Note the following fact about the point of inflection.
VIEWStep 2: Determine relative minimum , maximum and inflection points .
VIEWStep 3: Determine relative minimum , maximum and inflection points .
VIEWStep 4: Determine relative minimum , maximum and inflection points .
VIEWStep 5: Determine slant asymptote .
VIEWStep 6: Sketch curve .
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