13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2, f(4) = -2 f(x) is undefined for x = ± 2 -2 8 6+ + 6 y 4 6 8 X 1 f'(-4) = f'(0) = f'(4) = 0 f'(x) < 0 for x <-4, x>4 f'(x) > 0 for -4 < x < -2,-2 < x < 0 and 0 0 for x < -2, 02
13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2, f(4) = -2 f(x) is undefined for x = ± 2 -2 8 6+ + 6 y 4 6 8 X 1 f'(-4) = f'(0) = f'(4) = 0 f'(x) < 0 for x <-4, x>4 f'(x) > 0 for -4 < x < -2,-2 < x < 0 and 0 0 for x < -2, 02
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Question
Pls help ASAP. Pls show all work.
![13. Sketch a graph of a rational function that satisfies the following conditions
f(0) = 0, f(-4) = 2, f(4) = -2
f(x) is undefined for x =± 2
-8 -6 4
8+
+
6
y
6
8
X
1
f'(-4) = f'(0) = f '(4) = 0
f'(x) < 0 for x < -4, x > 4
f'(x) > 0 for -4 < x < -2, -2<x<0 and
0<x<2, 2<4
f"(0) = 0
f"(x) > 0 for x < -2, 0<x<2
f"(x) < 0 for -2 < x < 0, x > 2
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ef31c9f-1e44-437f-a71e-09574dc73129%2Fe304dd89-9f65-43d8-a069-0f4a4e3e4eb8%2Fxxh96ck_processed.png&w=3840&q=75)
Transcribed Image Text:13. Sketch a graph of a rational function that satisfies the following conditions
f(0) = 0, f(-4) = 2, f(4) = -2
f(x) is undefined for x =± 2
-8 -6 4
8+
+
6
y
6
8
X
1
f'(-4) = f'(0) = f '(4) = 0
f'(x) < 0 for x < -4, x > 4
f'(x) > 0 for -4 < x < -2, -2<x<0 and
0<x<2, 2<4
f"(0) = 0
f"(x) > 0 for x < -2, 0<x<2
f"(x) < 0 for -2 < x < 0, x > 2
3
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