f(0) = 0, f'(-2) = f'(1) = f'(9) = 0, lim f(x) = 0, lim f(x) = -0, X-6 f'(x) <0 on (-∞, -2), (1, 6), and (9, ∞), f'(x) > 0 on (-2, 1) and (6, 9), f"(x) > 0 on (-∞, 0) and (12, ∞), f"(x) < 0 on (0, 6) and (6, 12)
f(0) = 0, f'(-2) = f'(1) = f'(9) = 0, lim f(x) = 0, lim f(x) = -0, X-6 f'(x) <0 on (-∞, -2), (1, 6), and (9, ∞), f'(x) > 0 on (-2, 1) and (6, 9), f"(x) > 0 on (-∞, 0) and (12, ∞), f"(x) < 0 on (0, 6) and (6, 12)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Sketch the graph of the function that satisfies the given conditions: (see attached image)
![ƒ(0) = 0, f'(-2) = f'(1) = f'(9) = 0,
lim f(x) = 0, lim f(x) = -0,
X-6
ƒ'(x) < 0 on (-∞, -2), (1, 6), and (9, ∞),
f'(x) > 0 on (-2, 1) and (6, 9),
f"(x) > 0 on (-∞, 0) and (12, ∞),
f"(x) <0 on (0, 6) and (6, 12)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bb29282-63cc-412a-a2dd-5fc661270035%2Fdab5cb85-4a6c-4fd0-aca5-6ab169e8cfcf%2F8tez8m8_processed.png&w=3840&q=75)
Transcribed Image Text:ƒ(0) = 0, f'(-2) = f'(1) = f'(9) = 0,
lim f(x) = 0, lim f(x) = -0,
X-6
ƒ'(x) < 0 on (-∞, -2), (1, 6), and (9, ∞),
f'(x) > 0 on (-2, 1) and (6, 9),
f"(x) > 0 on (-∞, 0) and (12, ∞),
f"(x) <0 on (0, 6) and (6, 12)
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