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Algebra & Trigonometry with Analytic Geometry

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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4. Sketch a graph of a rational function that satisfies the following conditions:
f(0)=0, f(4) = −6, f(6)=-9
f'(0) = f'(6) = 0
f'(x)<0 for x < 0 and 0 < x <6; f'(x) > 0 for x > 6
ƒ"(0) = ƒ"'(4) = 0
f"(x)<0 for 0 < x <4; ƒ''(x) > 0 for x < 0 and x>4
2
+
y
++
15-
2
10
+
6
X

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