lim f(x) = -∞ x-2- lim, f(x) = 0 x--2+ lim f(x) =-3+ %3D X00 f(-7) = 3 f'(-4) = 0 f(-6) = 0 f'(-1) = 0 f(-4) = -2 f'(1) DNE f(-1) = 0 f"(-6) = 0 f(1) = 3 f"(-4) = 0 f(2) = 0 f'(x) > 0 on x E (-1,1) f'(x) < 0 on x E (-, –2) U (–2, -1) U (1, 0) f"(x) > 0 on x E (-6, –4) U (–2, ∞) f"(x) < 0 on x E (-0, –6) U (-4, –2)
lim f(x) = -∞ x-2- lim, f(x) = 0 x--2+ lim f(x) =-3+ %3D X00 f(-7) = 3 f'(-4) = 0 f(-6) = 0 f'(-1) = 0 f(-4) = -2 f'(1) DNE f(-1) = 0 f"(-6) = 0 f(1) = 3 f"(-4) = 0 f(2) = 0 f'(x) > 0 on x E (-1,1) f'(x) < 0 on x E (-, –2) U (–2, -1) U (1, 0) f"(x) > 0 on x E (-6, –4) U (–2, ∞) f"(x) < 0 on x E (-0, –6) U (-4, –2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Use the information provided to sketch an accurate curve
![lim_ f(x) =-0
lim f(x) = ∞
x→-2+
lim f(x) =-3+
x--2-
X00
f(-7) = 3
f'(-4) = 0
f(-6) = 0
f'(-1) = 0
f(-4) = -2
f'(1) DNE
f(1) = 3
f"(-4) = 0
f(2) = 0
f(-1) = 0
f"(-6) = 0
f' (x) > 0 on x E (-1,1)
f'(x) < 0 on x € (-0,–2) U (-2, –1) U (1, ∞)
f"(x) > 0 on x E (-6, –4) U (-2, 0)
f"(x) < 0 on x E (-00, -6) U (–4, –2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F473e190f-b5f0-4763-be9b-364eb9b585b9%2F32d275cb-eebd-49ff-bc89-2be666744e0a%2Fvb9z5q_processed.png&w=3840&q=75)
Transcribed Image Text:lim_ f(x) =-0
lim f(x) = ∞
x→-2+
lim f(x) =-3+
x--2-
X00
f(-7) = 3
f'(-4) = 0
f(-6) = 0
f'(-1) = 0
f(-4) = -2
f'(1) DNE
f(1) = 3
f"(-4) = 0
f(2) = 0
f(-1) = 0
f"(-6) = 0
f' (x) > 0 on x E (-1,1)
f'(x) < 0 on x € (-0,–2) U (-2, –1) U (1, ∞)
f"(x) > 0 on x E (-6, –4) U (-2, 0)
f"(x) < 0 on x E (-00, -6) U (–4, –2)
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