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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
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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