y Graph of f The function fis defined on the closed interval [-2, 6]. The graph of f consists of two quarter-circles and three lines segments, as shown above. Let g be the function defined by g(x) = At) dt. c) On what open interval(s) contained in -2 < x <6 is the graph of g increasing? Justify your answer. d) Does the graph of g have a point of inflection at x = 5? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Please solve C and D

9:03 AM Wed May 12
* 100%
5 of 5
2-
1+
3
-2-
Graph of f
The function f is defined on the closed interval [-2, 6]. The graph of f consists of two quarter-circles and
three lines segments, as shown above. Let g be the function defined by g(x) = ft) dt.
c) On what open interval(s) contained in -2 <x < 6 is the graph of g increasing? Justify your
answer.
d) Does the graph of g have a point of inflection at x = 5? Justify your answer.
Transcribed Image Text:9:03 AM Wed May 12 * 100% 5 of 5 2- 1+ 3 -2- Graph of f The function f is defined on the closed interval [-2, 6]. The graph of f consists of two quarter-circles and three lines segments, as shown above. Let g be the function defined by g(x) = ft) dt. c) On what open interval(s) contained in -2 <x < 6 is the graph of g increasing? Justify your answer. d) Does the graph of g have a point of inflection at x = 5? Justify your answer.
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