Let h be a continuous function over the interval [-5, 10] with derivative given by h' consisting of two line segments and two semicircles, as shown in the gra 4 HA 3 2 1 0 -1 -2 -3 -46 -4 -2 0 2 4 6 8 10 Part A: For what intervals is the graph of h increasing? Decreasing? Justify your answer. Part B: For what value(s) of x does h have relative extrema? Justify your answer. Part C: For what intervals is the graph of h concave up? Concave down? Justify your answer. Part D: For what value(s) of x does h have a point of inflection? Justify your answer.
Let h be a continuous function over the interval [-5, 10] with derivative given by h' consisting of two line segments and two semicircles, as shown in the gra 4 HA 3 2 1 0 -1 -2 -3 -46 -4 -2 0 2 4 6 8 10 Part A: For what intervals is the graph of h increasing? Decreasing? Justify your answer. Part B: For what value(s) of x does h have relative extrema? Justify your answer. Part C: For what intervals is the graph of h concave up? Concave down? Justify your answer. Part D: For what value(s) of x does h have a point of inflection? Justify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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![Let h be a continuous function over the interval [-5, 10] with derivative given by h' consisting of two line segments and two semicircles, as shown in the graph.
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-3
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Part A: For what intervals is the graph of h increasing? Decreasing? Justify your answer.
Part B: For what value(s) of x does h have relative extrema? Justify your answer.
Part C: For what intervals is the graph of h concave up? Concave down? Justify your answer.
Part D: For what value(s) of x does h have a point of inflection? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9b1d45f-2625-4b93-b570-df748e06f675%2F2727bd26-4123-4217-a4a0-abef3b217146%2Fdp05dre_processed.png&w=3840&q=75)
Transcribed Image Text:Let h be a continuous function over the interval [-5, 10] with derivative given by h' consisting of two line segments and two semicircles, as shown in the graph.
qu
3
2
1
ok
-1
-2
-3
4
6
8
X
10
Part A: For what intervals is the graph of h increasing? Decreasing? Justify your answer.
Part B: For what value(s) of x does h have relative extrema? Justify your answer.
Part C: For what intervals is the graph of h concave up? Concave down? Justify your answer.
Part D: For what value(s) of x does h have a point of inflection? Justify your answer.
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