D. Find the x-coordinate of each point of inflection of the graph y = g(x) on the interval -5 < x < 5. Explain your reasoning.

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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Please help with part D
Free Response
The function g is defined and differentiable on the
closed interval[-5, 5] and satisfies g(0) = 4. The
graph of y = g'(x) the derivative of g , consists of
three line segments and a quarter of a circle, as
shown at right.
y =g(x)
A. Find g(-3) and g(1)
B. Find all the values of x on the open interval (-5,5) where g is increasing. Justify your answer.
C. Find the minimum value of g on the closed interval [-5,5]. Justify your answer.
D. Find the x-coordinate of each point of inflection of the graph y = g(x) on the interval
-5 < x < 5. Explain your reasoning.
Transcribed Image Text:Free Response The function g is defined and differentiable on the closed interval[-5, 5] and satisfies g(0) = 4. The graph of y = g'(x) the derivative of g , consists of three line segments and a quarter of a circle, as shown at right. y =g(x) A. Find g(-3) and g(1) B. Find all the values of x on the open interval (-5,5) where g is increasing. Justify your answer. C. Find the minimum value of g on the closed interval [-5,5]. Justify your answer. D. Find the x-coordinate of each point of inflection of the graph y = g(x) on the interval -5 < x < 5. Explain your reasoning.
(the graph should be labeled as y=g'(x))
Transcribed Image Text:(the graph should be labeled as y=g'(x))
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