(5,0) Ax (X-2) Graph of f -10 810 (10.2) 10 Let f be a differentiable function defined on [-10, 10] whose graph, consisting of six line segments, is shown in the figure. Let g be the function defined by g(x)=10f (1) dt. 53. (a) Find g(-4) and g"(-6). 54. (b) On what interval(s) is (are) the graph of g both concave up and decreasing? Justify your conclusion. 55. (c) Determine the absolute minimum value and the absolute maximum value of g on the closed interval [10, 10]. Justify your answer.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Q54 solve in 10 min
(5,0)
A
-10
Graph of f
10
10
Let f be a differentiable function defined on [-10, 10] whose graph, consisting of six line segments, is
shown in the figure. Let g be the function defined by g(x)=10f (1) dt.
53. (a) Find g(-4) and g"(-6).
54. (b) On what interval(s) is (are) the graph of g both concave up and decreasing? Justify your
conclusion.
55. (c) Determine the absolute minimum value and the absolute maximum value of g on the closed
interval [10, 10]. Justify your answer.
Transcribed Image Text:(5,0) A -10 Graph of f 10 10 Let f be a differentiable function defined on [-10, 10] whose graph, consisting of six line segments, is shown in the figure. Let g be the function defined by g(x)=10f (1) dt. 53. (a) Find g(-4) and g"(-6). 54. (b) On what interval(s) is (are) the graph of g both concave up and decreasing? Justify your conclusion. 55. (c) Determine the absolute minimum value and the absolute maximum value of g on the closed interval [10, 10]. Justify your answer.
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