(-1.-2) -4,-3) (1.2) 10 (2.0) (3.-2) Graph of f The graph of the function fabove consists of three line segments. a) Let g be the function given by gtt) = f(n)dt. For each of g(-1), g(-1), and g'(-1), find the value or state that it does not exist. 8 gran b) For the function g defined in part (a), find the x-coordinate of each point of inflection of the graph of g on the open interval-4

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(-1.-2)
-4,-3)
(1.2)
10
(2.0)
Graph of f
The graph of the function fabove consists of three line segments.
a) Let g be the function given by gtt) = f(n)dt. For each of g(-1), g(-1), and g'(-1), find the value or
state that it does not exist.
(3.-2)
8
'(I) gr
b) For the function g defined in part (a), find the x-coordinate of each point of inflection of the graph of g
on the open interval-4<x<3. Explain your reasoning.
c) Let h be the function given by h(x) = f(1) dr. Find all values of x in the closed interval -4 ≤ x ≤ 3 for
which h(x) = 0.
d) For the function h defined in part (c), find all intervals on which his decreasing. Explain your reasoning.
4
Transcribed Image Text:(-1.-2) -4,-3) (1.2) 10 (2.0) Graph of f The graph of the function fabove consists of three line segments. a) Let g be the function given by gtt) = f(n)dt. For each of g(-1), g(-1), and g'(-1), find the value or state that it does not exist. (3.-2) 8 '(I) gr b) For the function g defined in part (a), find the x-coordinate of each point of inflection of the graph of g on the open interval-4<x<3. Explain your reasoning. c) Let h be the function given by h(x) = f(1) dr. Find all values of x in the closed interval -4 ≤ x ≤ 3 for which h(x) = 0. d) For the function h defined in part (c), find all intervals on which his decreasing. Explain your reasoning. 4
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