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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help with parts C and 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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