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 intercept (х, у) (x, v) = ( relative minimum 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 2.0 -4 -2 1.5 -0.5 0.5 -1.5 -2.0 O-4 -2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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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
y =
x2 + 3
intercept
(x, y) = (|
(x, y) = (|
relative minimum
(x, y) = (|
relative maximum
points of inflection
(x, y) = (|
(smaller x-value)
(x, v) = (|
(larger x-value)
Find the equation of the asymptote.
Use a graphing utility to verify your results.
y
2.0
-4
2
4
1.5
-0.5
0.5
-1.5
-2.0|
O-4
2
y
y
2
-4
2
-4
-2
2
4.
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 + 3 intercept (x, y) = (| (x, y) = (| relative minimum (x, y) = (| relative maximum points of inflection (x, y) = (| (smaller x-value) (x, v) = (| (larger x-value) Find the equation of the asymptote. Use a graphing utility to verify your results. y 2.0 -4 2 4 1.5 -0.5 0.5 -1.5 -2.0| O-4 2 y y 2 -4 2 -4 -2 2 4.
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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
y =
x2 + 3
intercept
(х, у) %3
0,0
relative minimum
(х, у) %3D
DNE
relative maximum
(х, у) %3D
0,0
points of inflection
(х, у) 3
-1, 14
(smaller x-value)
(х, у) %3D
1,14
(larger x-value)
Find the equation of the asymptote.
1
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 + 3 intercept (х, у) %3 0,0 relative minimum (х, у) %3D DNE relative maximum (х, у) %3D 0,0 points of inflection (х, у) 3 -1, 14 (smaller x-value) (х, у) %3D 1,14 (larger x-value) Find the equation of the asymptote. 1
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