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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Especially part D
y = g(x)
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.
A. Find g(-3) and g(1)
O for both
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.
Jean Adams Flamingo MathTM, LLC
Transcribed Image Text:y = g(x) 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. A. Find g(-3) and g(1) O for both 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. Jean Adams Flamingo MathTM, LLC
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