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 + 243 intercept (х, у) %3D 0,0 relative minimum (х, у) %3D 0,0 relative maximum (x, y) = DNE points of inflection (х, у) %3D -9, (smaller x-value) (х, у) %3D 9, 4 (larger x-value) Find the equation of the asymptote.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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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 + 243
intercept
(х, у) %3D
0,0
relative minimum
(х, у) %3D
0,0
relative maximum
(x, y) =
DNE
points of inflection
(х, у) %3D
-9,
(smaller x-value)
9.
(х, у) %3D
(larger x-value)
4
Find the equation of the asymptote.
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 + 243 intercept (х, у) %3D 0,0 relative minimum (х, у) %3D 0,0 relative maximum (x, y) = DNE points of inflection (х, у) %3D -9, (smaller x-value) 9. (х, у) %3D (larger x-value) 4 Find the equation of the asymptote.
Use a graphing utility to verify your results.
y
y
2F
X
- 30
- 20
-10
20
30
- 30
-20
to
10
20
30
- 2
y
y
2.0
X
- 30 -20
- 10
10
20
30
-
1.5
-0.5
-1.0
1.0-
0.5
- 1.5
- 2.0E
- 30
- 20
-10
10
30
20
Transcribed Image Text:Use a graphing utility to verify your results. y y 2F X - 30 - 20 -10 20 30 - 30 -20 to 10 20 30 - 2 y y 2.0 X - 30 -20 - 10 10 20 30 - 1.5 -0.5 -1.0 1.0- 0.5 - 1.5 - 2.0E - 30 - 20 -10 10 30 20
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Swokowski
Publisher:
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