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.) x2 y = x2 + 243 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = points of inflection (x, y) = (smaller x-value) (x, y) = ( (larger x-value) Find the equation of the asymptote. Use a graphing utility to verify your results. y y 2f 2f -30 -20 10 20 30 - 30 - 20 -10 20 30 - 2 y y 2.0 - 30 -20 -10 10 20 30 1.5 -0.5 0.5 -1.5 -2.0 -30 -20 -10 10 20 30
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.) x2 y = x2 + 243 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = points of inflection (x, y) = (smaller x-value) (x, y) = ( (larger x-value) Find the equation of the asymptote. Use a graphing utility to verify your results. y y 2f 2f -30 -20 10 20 30 - 30 - 20 -10 20 30 - 2 y y 2.0 - 30 -20 -10 10 20 30 1.5 -0.5 0.5 -1.5 -2.0 -30 -20 -10 10 20 30
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.)
x2
y =
x2 + 243
intercept
(x, y) =
relative minimum
(x, y) |
relative maximum
(x, y) =
points of inflection (x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Find the equation of the asymptote.
Use a graphing utility to verify your results.
y
y
X
- 30 -20
to
10
20
30
- 30 - 20
-10
20
30
-2t
-2t
y
y
2.0
-30
- 20
-10
10
20
30
1.5
-0.5
1.0
0.5
-1.5
-2.0
- 30
-20
-10
10
20
30
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