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.) + 75 Intercept (х, у) - relative minimum (х, у) - relative maximum (х, у) - points of inflection (х, у) - (smaller x-value) (х, у) - (larger x-value) Find the equation of the asymptote. Use a graphing utility to verify your results.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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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 + 75
Intercept
(х, у) %3D
relative minimum
(х, у) -
relative maximum
(x, y) =
points of inflection
(х, у) %3D
(smaller x-value)
(х, у) %3
(larger x-value)
Find the equation of the asymptote.
Use a graphing utility to verify your results.
y
y
2.0|
1.5
1.0
- 20
- 10
10
20
0.5
0-20
- 10
10
20
y
y
- 20
-10
10
20
-0.5
--1:0
- 20
-10
10
20
-1.5
-2.0F
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 + 75 Intercept (х, у) %3D relative minimum (х, у) - relative maximum (x, y) = points of inflection (х, у) %3D (smaller x-value) (х, у) %3 (larger x-value) Find the equation of the asymptote. Use a graphing utility to verify your results. y y 2.0| 1.5 1.0 - 20 - 10 10 20 0.5 0-20 - 10 10 20 y y - 20 -10 10 20 -0.5 --1:0 - 20 -10 10 20 -1.5 -2.0F
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