2. The function g(x) is defined for -3 Sxs 3. The behaviour of g'(x) and g"(x) is given below. -3

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 2CA
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2. The function g(x) is defined for –3<x<3. The behaviour of g'(x) and g"(x) is given below.
-3 <x<-2
-2
-2<x<1
1<x<3
g'(x)
negative
positive
negative
|-3 <x<-!
2
g"(x)
positive
negative
Use the information above to answer the following. For each question, explain your answer.
a) Write down the value of x for which g has a maximum.
b) On which intervals is the value of g decreasing?
c) Write down the value of x for which the graph of g has a point of inflection.
1/2
Transcribed Image Text:2. The function g(x) is defined for –3<x<3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2 -2 -2<x<1 1<x<3 g'(x) negative positive negative |-3 <x<-! 2 g"(x) positive negative Use the information above to answer the following. For each question, explain your answer. a) Write down the value of x for which g has a maximum. b) On which intervals is the value of g decreasing? c) Write down the value of x for which the graph of g has a point of inflection. 1/2
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