be the continuous function defined on [-6,6] whose graph consists of a quarter circle mree line segments, as shown above. be the function given by g(x) = [re) dt . 9(-6)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 79E
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Please help with part D
10:51
Let f be the continuous function defined on [-6,6] whose graph consists of a quarter circle
and three line segments, as shown above.
Let g be the function given by g(x) =
A) Find g(-6)
B) At what value(s) of x on -6 <x<6 is the graph of g(x) increasing? Justify your answer.
C) Write an equation for the line tangent to the graph of g at x = 4.
D) Find the absolute maximum value of g on the closed interval [-6, 6]. Justify your answer.
Transcribed Image Text:10:51 Let f be the continuous function defined on [-6,6] whose graph consists of a quarter circle and three line segments, as shown above. Let g be the function given by g(x) = A) Find g(-6) B) At what value(s) of x on -6 <x<6 is the graph of g(x) increasing? Justify your answer. C) Write an equation for the line tangent to the graph of g at x = 4. D) Find the absolute maximum value of g on the closed interval [-6, 6]. Justify your answer.
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