y =Mx) Let f be the continuous function defined on [-6, 6] whose graph consists of a quarter circle and three line segments, as shown above. |() dt . Let g be the function given by g(x) = A) Find g(-6) B) At what value(s) of x on -6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 19PPS
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Please help with part B
y =(x)
-3
-2
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) =
f(t) dt
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:y =(x) -3 -2 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) = f(t) dt 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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