Help 2. A function is continuous on the closed interval [-3,3] such that f(-3) = 4 and f(3) =1. The functions f'(x) and f"(x) have the properties given in the table below.-3 < x < -1x = -1-1 < x < 1x = 11 < x < 3f'(x)PositiveFails to existNegativeZeroNegativef"(x)PositiveFails to existPositiveZeroNegativea. What are the x-coordinates of all absolute maximum and minimum points of f on theinterval [-3,3]? Justify your answer.b. What are the x-coordinates of all points of inflection on the interval [-3,3]? Justifyyour answer.C. On the axes provided, sketch a graph that satisfies the given properties of f.+3

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Answered: 2. A function is continuous on the…

2. A function is continuous on the closed interval [-3,3] such that f(-3) = 4 and f(3) = 1. The functions f'(x) and f"(x) have the properties given in the table below. -3

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

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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Help

2. A function is continuous on the closed interval [-3,3] such that f(-3) = 4 and f(3) =
1. The functions f'(x) and f"(x) have the properties given in the table below.
-3 < x < -1
x = -1
-1 < x < 1
x = 1
1 < x < 3
f'(x)
Positive
Fails to exist
Negative
Zero
Negative
f"(x)
Positive
Fails to exist
Positive
Zero
Negative
a. What are the x-coordinates of all absolute maximum and minimum points of f on the
interval [-3,3]? Justify your answer.
b. What are the x-coordinates of all points of inflection on the interval [-3,3]? Justify
your answer.
C. On the axes provided, sketch a graph that satisfies the given properties of f.
+3

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