The graph of y=h(x), shown above, consists of three line segments and two quarter-circles. X The function g is defined by g(x) = n(t)dt for all x in the closed interval [-7,8]. 4 (a) Write an equation for the line tangent to the graph of y=g(x) at x=6. (b) Which is larger, g(-4) or g(-3) ? Give a reason for your answer. (c) What is the absolute maximum of g on the closed interval [-7,8]? Justify your answer.
The graph of y=h(x), shown above, consists of three line segments and two quarter-circles. X The function g is defined by g(x) = n(t)dt for all x in the closed interval [-7,8]. 4 (a) Write an equation for the line tangent to the graph of y=g(x) at x=6. (b) Which is larger, g(-4) or g(-3) ? Give a reason for your answer. (c) What is the absolute maximum of g on the closed interval [-7,8]? Justify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 44E
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-7
-4
Ty=h(x)
4
6
8
7x
The graph of y=h(x), shown above, consists of three line segments and two quarter-circles.
The function g is defined by g(x)= Sh(t)dt for all x in the closed interval [-7,8].
4
(a) Write an equation for the line tangent to the graph of y=g(x) at x=6.
(b) Which is larger, g(-4) or g(-3) ? Give a reason for your answer.
(c) What is the absolute maximum of g on the closed interval [-7,8]? Justify your answer.
(d) Find the x-coordinate of each point of inflection on the graph of y=g(x). Give a reason for](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf9dafc6-bac8-41ec-a856-62d58445bc24%2F6f791e04-17ff-45d4-9d56-6e3ccae9c046%2F30mnaq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:No Technology allowed.
-7
-4
Ty=h(x)
4
6
8
7x
The graph of y=h(x), shown above, consists of three line segments and two quarter-circles.
The function g is defined by g(x)= Sh(t)dt for all x in the closed interval [-7,8].
4
(a) Write an equation for the line tangent to the graph of y=g(x) at x=6.
(b) Which is larger, g(-4) or g(-3) ? Give a reason for your answer.
(c) What is the absolute maximum of g on the closed interval [-7,8]? Justify your answer.
(d) Find the x-coordinate of each point of inflection on the graph of y=g(x). Give a reason for
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