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Let h be a continuous function over the interval [-10, 6] with derivative given by h’ consisting of two line segments and two semicircles, as shown in the graph. 2 -1 -2 -3 410 -8 -6 -4 -2 0 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.

by | Sep 8, 2023 | calculus

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Let h be a continuous function over the interval [-10, 6] with derivative given by h' consisting of two line segments and two semicircles, as shown in the graph.
3
2
1
0
-1
-2
-3
10
-8
-6
-4
0
4
6
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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Transcribed Image Text:Let h be a continuous function over the interval [-10, 6] with derivative given by h’ consisting of two line segments and two semicircles, as shown in the graph.
3
2
1
0
-1
-2
-3
10
-8
-6
-4
0
4
6
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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