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 = x²+25 intercept relative minimum relative maximum points of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (smallest x-value) Use a graphing utility to verify your results. ) (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.)
=x²+25
y =
intercept
(x, y) =
(x, y) =
(x, y) =
1
(x, y) =
(x, y) =
(x, y) =
relative minimum
relative maximum
points of inflection
(smallest x-value)
Use a graphing utility to verify your results.
(largest x-value)
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)
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+25 y = intercept (x, y) = (x, y) = (x, y) = 1 (x, y) = (x, y) = (x, y) = relative minimum relative maximum points of inflection (smallest x-value) Use a graphing utility to verify your results. (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
-15 -10 -5
-15 -10
-5
0.1
-0.1
-0.2
y
0.2
0.1
-0.1
-0.2
5 10
5 10
15
15
X
☺☺☺
-15 -10
-5
y
0.1
-0.1
-15 -10 -5
-0.2
y
0.2
0.1
-0.1
-0.2
5 10
5 10
15
15
X
X
Transcribed Image Text:Use a graphing utility to verify your results. y -15 -10 -5 -15 -10 -5 0.1 -0.1 -0.2 y 0.2 0.1 -0.1 -0.2 5 10 5 10 15 15 X ☺☺☺ -15 -10 -5 y 0.1 -0.1 -15 -10 -5 -0.2 y 0.2 0.1 -0.1 -0.2 5 10 5 10 15 15 X X
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