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<<12=1|1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 58E
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Question: what are the x-coordinates of all points of inflection of f on the interval [-3, 3] and find the absolute extrema of f and where they occur

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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.
|-1<<12=1|1<r<3
-3<<-1
f'(x)
ƒ"(x)
positive
positive
x=-1
fails to exist
fails to exist
negative
positive
0 negative
0
negative
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. |-1<<12=1|1<r<3 -3<<-1 f'(x) ƒ"(x) positive positive x=-1 fails to exist fails to exist negative positive 0 negative 0 negative
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