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6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be the function given by a(x) =Ht)db: g'(x)= f(x) -2 () (-6,3) 16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these values. Justify your answers.

6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be the function given by a(x) =Ht)db: g'(x)= f(x) -2 () (-6,3) 16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these values. Justify your answers.

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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6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be the function given by a(x) =Ht)db: g'(x)= f(x) -2 () (-6,3) 16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these values. Justify your answers.
Transcribed Image Text:6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be the function given by a(x) =Ht)db: g'(x)= f(x) -2 () (-6,3) 16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these values. Justify your answers.
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