Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x = 0, f'(x) > 0 if x < -4, f'(x) < o if x > -4 (x = 0), f"(x) < O if x < 0, f"(x) > 0 if x > o 20 20 20 20 10 1아 10 10 -4 -2 -2 2 2 4 -10H -10 -10 -1아 -20 -20 -20 -20

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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Sketch the graph of a function that satisfies all of the given conditions.
vertical asymptote x = 0,
f'(x) > 0 if x < -4,
f'(x) < 0 if x > -4 (x # 0),
f"(x) < 0 if x < o,
f"(x) > 0 if x > o
y
y
y
20
20
20
20
10
10
10
10
X
-4
-2
4
-4
-2
4
-4
-2
2
4
-4
-2
-10
- 10
-10
-10
- 20
- 20
- 20
- 20
Transcribed Image Text:Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x = 0, f'(x) > 0 if x < -4, f'(x) < 0 if x > -4 (x # 0), f"(x) < 0 if x < o, f"(x) > 0 if x > o y y y 20 20 20 20 10 10 10 10 X -4 -2 4 -4 -2 4 -4 -2 2 4 -4 -2 -10 - 10 -10 -10 - 20 - 20 - 20 - 20
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