6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be the function given by a(x) =Ht)db: g'(x)= f(x) -2 () (-6,3) 16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these values. Justify your answers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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6.
(-4, 5)R
4
bon
-6 -4 -2
4
-2
(3, -2)
HAND
Graph of fg'(x)
The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be
the function given by a(x)
=Ht)db: g'(x)= f(x)
-2
()
(-6,3)
16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local
maximum, a local minimum, or neither at each of these values. Justify your answers.
Transcribed Image Text:6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown above. Let g be the function given by a(x) =Ht)db: g'(x)= f(x) -2 () (-6,3) 16. Find all values of x on the open intervalbg has a horizontal tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these values. Justify your answers.
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