Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.h(z) = 
z3 - 12z2 + 10z + 46
A. Concave down for all z; no inflection points
B. Concave up on (-?, 0) ? (3, ?), concave down on (0, 3); inflection points (0, 46), (3, 4)
C. Concave up on (-?, 3), concave down on (3, ?); inflection point (3, 4)
D. Concave up on (3, ?), concave down on (-?, 3); inflection point (3, 4)
Answer: D
Mathematics
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