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 + 3 x2 - 16 intercept (x, y) = relative minimum (x, v) = relative maximum (x, y) = point of inflection (x, y) = 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 y 15 15 10 10 5 -15 -5 15 -15 -10 -5 5. 10 15 -5 -5 -10 -10 -15 -15 y y 15 15 10 10 -15 -10 -5 10 15 -15 -10 -5 10 15 -5 -10 -10 -15 -15 in

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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.)
x2 + 3
x2 - 16
intercept
(x, y) =
relative minimum
(x, y) =
relative maximum
(x, y) =
point of inflection
(x, y) =
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
y
15
15
10
10
5
-15
-10
-5
10
15
-15
-10
-5
5.
10
15
-5
-5
-10
-10
-15
-15
y
y
15
15
10
10
-15
-10
-5
10
15
-15
-10
-5
10
15
-5
-10
-10
-15
-15
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 + 3 x2 - 16 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = point of inflection (x, y) = 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 y 15 15 10 10 5 -15 -10 -5 10 15 -15 -10 -5 5. 10 15 -5 -5 -10 -10 -15 -15 y y 15 15 10 10 -15 -10 -5 10 15 -15 -10 -5 10 15 -5 -10 -10 -15 -15
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