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Concavity and Points of Inflection
Grade Level
Calculus I
CAL1.80 Concavity and Points of Inflection
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A continuous function has f'' signs + on (-infinity, -4), - on (-4, -1), + on (-1, 0), + on (0, 3), and - on (3, infinity). What is correct?
A
Concave up on (-infinity, -4), (-1, 0), and (0, 3); concave down on (-4, -1) and (3, infinity); inflection x = -4, x = -1, and x = 3
B
Concave down on (-infinity, -4), (-1, 0), and (0, 3); concave up on (-4, -1) and (3, infinity); inflection x = -4, x = -1, and x = 3
C
Concave up on (-infinity, -4) and (-1, 3); concave down on (-4, -1) and (3, infinity); inflection x = -4, x = -1, x = 0, and x = 3
D
Concave up on all intervals; no inflection x-values
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