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
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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b1f7975-4b0c-45ff-85b5-d245674b95f7%2Fccced9d4-ab48-455f-a3e5-31c8f6f97714%2Fhnoemy_processed.jpeg&w=3840&q=75)
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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