Determine where the given function is concave up and where it is concave down.
h(x) =

x
3 - 12x
2 + 10x + 45
◦ Concave up on (3, ∞), concave down on (-∞, 3)
◦ Concave up on (-∞, 3), concave down on (3, ∞)
◦ Concave up on (-∞, 0) and (3, ∞), concave down on (0, 3)
◦ Concave down for all x