A function f is continuous on the closed interval [-3,3] such that f(-3)=4 and ƒ(3) = 1. The function f' and f" have the properties given in the table below. -1<<1|1=1|1<<3 | -3<<-1 f'(z) positive positive fails to exist fails to exist negative positive 0 negative 0 negative a) What are the z-coordinates of all points of inflection of f on the interval [−3,3] ? b) Find the absolute extrema off and where they occur.

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.
Chapter3: The Derivative
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A function f is continuous on the closed interval [-3,3] such that f(-3)=4 and ƒ(3) = 1.
The function f' and f" have the properties given in the table below.
2
f'(x)
-3<<-1
positive
ƒ"(x) || positive
-1<<1|z1|1<r<3]
fails to exist
fails to exist
negative
0 negative
positive 0 negative
a) What are the z-coordinates of all points of inflection of f on the interval [-3,3]?
b) Find the absolute extrema off and where they occur.
Transcribed Image Text:A function f is continuous on the closed interval [-3,3] such that f(-3)=4 and ƒ(3) = 1. The function f' and f" have the properties given in the table below. 2 f'(x) -3<<-1 positive ƒ"(x) || positive -1<<1|z1|1<r<3] fails to exist fails to exist negative 0 negative positive 0 negative a) What are the z-coordinates of all points of inflection of f on the interval [-3,3]? b) Find the absolute extrema off and where they occur.
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