The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals (4, 0) and (-∞ , –4) What is the value of the constant C ? Your answer should be an integer or a simplified fraction.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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The function
h(x)=In(x²+c)
is concave up on the interval
(-4,4)
and concave down on the intervals
(4, co0)
and
(-o, -4)
What is the value of the constant
C
?
Your answer should be an integer or a
simplified fraction.
Transcribed Image Text:The function h(x)=In(x²+c) is concave up on the interval (-4,4) and concave down on the intervals (4, co0) and (-o, -4) What is the value of the constant C ? Your answer should be an integer or a simplified fraction.
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