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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.8: one-to-one Functions And Their Inverses
Problem 5E: If the point (3,4) is on the graph of the function f , then the point ( __ , __ ) Is on the graph of...
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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
1<x<3
g'(x)
negative
positive
negative
|-3<x<-
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.
Rege 2 of4
Transcribed Image Text:Page 2 of 4 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 1<x<3 g'(x) negative positive negative |-3<x<- 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. Rege 2 of4
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