Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.G(x) =
x4 - x3 + 14
A. Concave up for (2, ?), concave down on (-?, 2); inflection point (2, 10)
B. Concave up for (-?, 0), concave down for (0, ?); inflection point (0, 14)
C. Concave up on (-?, 0) ? (2, ?), concave down on (0, 2); inflection points (0, 14) and (2, 10)
D. Concave up on (0, 2), concave down on (-?, 0) ? (2, ?); inflection points (0, 14) and (2, 10)
Answer: C
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A.
B.
C.
D.
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