The function f is a continuous function with the following characteristics: f'(x) < 0 on the interval (-∞, -3) U (3, ∞) f'(x) > 0 on the interval (-3, 3) f'(-3) = 0, f'(0) = 0, f' (3) = 0

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Q4. please sketch the graph
The function f is a continuous function with the following characteristics:
f'(x) < 0 on the interval (-∞, -3) U (3, ∞)
f'(x) > 0 on the interval (-3, 3)
f'(-3) = 0, f'(0) = 0, f' (3) = 0
f" (x) < 0 on the interval (-2, 0) U (2, ∞)
f" (x) > 0 on the interval (-∞, -2) U (0, 2)
f" (-2) = 0, f" (0) = 0, f" (2) = 0
Sketch a graph of a continuous function f(x) consistent with the information.
y-axis
Transcribed Image Text:The function f is a continuous function with the following characteristics: f'(x) < 0 on the interval (-∞, -3) U (3, ∞) f'(x) > 0 on the interval (-3, 3) f'(-3) = 0, f'(0) = 0, f' (3) = 0 f" (x) < 0 on the interval (-2, 0) U (2, ∞) f" (x) > 0 on the interval (-∞, -2) U (0, 2) f" (-2) = 0, f" (0) = 0, f" (2) = 0 Sketch a graph of a continuous function f(x) consistent with the information. y-axis
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