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.) ズ y = x* + 64 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = points of inflection (x, y) = ) (smallest x-value) (x, y) = (x, y) = (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)

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.)
y =
x* + 64
intercept
(x, y) =
relative minimum
(x, y) =
relative maximum
(x, y) =
points of inflection
(x, y) =
) (smallest x-value)
(x, y) =
(x, y) =
(largest x-value)
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)
Use a graphing utility to verify your results.
y
0.10
0.10
0.05
Ops
- 20
- 10
10
20
30
- 20
- 10
10
20
30
-005
-0.05
-0.10
-0.10
y
y
0.10
0.10
0.05
-20
- 10
10
20
30
-20
- 10
10
20
30
-0.05
-0.10
-0.10
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.) y = x* + 64 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = points of inflection (x, y) = ) (smallest x-value) (x, y) = (x, y) = (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify your results. y 0.10 0.10 0.05 Ops - 20 - 10 10 20 30 - 20 - 10 10 20 30 -005 -0.05 -0.10 -0.10 y y 0.10 0.10 0.05 -20 - 10 10 20 30 -20 - 10 10 20 30 -0.05 -0.10 -0.10
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