1. Use the following information provided to answer the questions and sketch and accurate graph of f(x) f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) = o X--5- lim f(x) =-∞ lim f(x) = ∞ lim f(x) =1 %3D x--5+ X→ー0 f'(-9) = 0 f'(-5) DNE f'(-1) = 0 f'(4) = 0 f'(x) > 0 on x E (-9,–5) U (–5,4) f'(x) < 0 on x E (-∞, –9) U (4, 0) f"(-1) = 0 f"(-5) DNE f"(2) = 0 f"(6) = 0 f"(x) > 0 on x e (-0, –5) U (–1,2) u (6, 0) f"(x) < 0 on x e (-5;1) U (2,6) a) State the equations of any vertical asymptotes b) State the equation of any horizontal asymptotes 10 -8 c) State any intervals of increase

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the following information provided to answer the questions

a) State the equations of any vertical asymptotes
b) State the equation of any horizontal asymptotes
c) State any intervals of increase

1. Use the following information provided to answer the questions and sketch and accurate
graph of f (x)
f(-9) = 0
f(-1) = 0
f(2) = 2
f(4) = 4
f(6) = 3
lim_ f(x) = 0
X--5-
lim f(x) =-∞
lim f(x) = 0
lim f(x) = 1
= -00
x--5+
X--00
f'(-9) = 0
f'(-5) DNE
f'(-1) = 0
f'(4) = 0
f'(x) > 0 on x e (-9,–5) U (–5,4)
f'(x) < 0 on x E (-∞, –9) U (4, 0)
f"(-1) = 0
f"(-5) DNE
f"(2) = 0
f"(6) = 0
f"(x) > 0 on x Ee (-0, –5) U (–1,2) u (6, ∞)
f"(x) < 0 on x € (-5;1) U (2,6)
a)
State the equations of any vertical asymptotes
b) State the equation of any horizontal asymptotes
10
-8
c) State any intervals of increase
Transcribed Image Text:1. Use the following information provided to answer the questions and sketch and accurate graph of f (x) f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim_ f(x) = 0 X--5- lim f(x) =-∞ lim f(x) = 0 lim f(x) = 1 = -00 x--5+ X--00 f'(-9) = 0 f'(-5) DNE f'(-1) = 0 f'(4) = 0 f'(x) > 0 on x e (-9,–5) U (–5,4) f'(x) < 0 on x E (-∞, –9) U (4, 0) f"(-1) = 0 f"(-5) DNE f"(2) = 0 f"(6) = 0 f"(x) > 0 on x Ee (-0, –5) U (–1,2) u (6, ∞) f"(x) < 0 on x € (-5;1) U (2,6) a) State the equations of any vertical asymptotes b) State the equation of any horizontal asymptotes 10 -8 c) State any intervals of increase
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