Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y =x - 16x x-intercept (x, y) = (-4.0 (smallest x-value) (x, y) = (0.0 (x, y) = (4.0 (largest x-value) y-intercept (x, y) - (0.0 relative maximum (X, y) - (0.0 (x, v) - (-2/2, – 64 (smaller x-value) relative minimum (x, y) - (2/2,– 64 (larger x-value) -2v2 -320 3 points of inflection (x, y) = (smaller x-value) 9. 2v2 320 (х, у) - (larger x-value) 3 horizontal asymptote DNE vertical asymptote DNE Sketch the graph of the function. 50 50 60 2 -20 40 -2 -40 20 -50 -50 -60 -2 2

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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See picture for question details.  I need to know how these answers were reached, and the missing components. 

Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
y = x4 - 16x2
x-intercept
(х, у) %—
-4,0
(smallest x-value)
(х, у) %3
0,0
(х, у) %3D
4,0
(largest x-value)
y-intercept
(х, у) %3D
0,0
relative maximum
(х, у) %3
0,0
(х, у) %3D
-2/2,- 64
(smaller x-value)
relative minimum
(х, у) %3D
2/2,- 64
(larger x-value)
-2v2
)
-320
points of inflection
(х, у) %3
(smaller x-value)
3
9.
2v2 320
(х, у) %3D
(larger x-value)
3
9.
horizontal asymptote
DNE
vertical asymptote
DNE
Sketch the graph of the function.
y
y
y
y
50
50
60
-2
2
- 20
40
4
-2
2
-40
20
- 50
- 50
- 60
- 2
2
Transcribed Image Text:Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = x4 - 16x2 x-intercept (х, у) %— -4,0 (smallest x-value) (х, у) %3 0,0 (х, у) %3D 4,0 (largest x-value) y-intercept (х, у) %3D 0,0 relative maximum (х, у) %3 0,0 (х, у) %3D -2/2,- 64 (smaller x-value) relative minimum (х, у) %3D 2/2,- 64 (larger x-value) -2v2 ) -320 points of inflection (х, у) %3 (smaller x-value) 3 9. 2v2 320 (х, у) %3D (larger x-value) 3 9. horizontal asymptote DNE vertical asymptote DNE Sketch the graph of the function. y y y y 50 50 60 -2 2 - 20 40 4 -2 2 -40 20 - 50 - 50 - 60 - 2 2
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