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-6ƒ'(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)

- The function starts at, has critical points at , , and , and approaches zero as goes to…

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)

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