Possible Function Value from Concavity
Let $$h$$ be a twice-differentiable function satisfying $$h'(x) < 0$$ and $$h''(x) < 0$$ for all real numbers $$x$$. If $$h(1) = 20$$ and $$h(3) = 8$$, which of the values 12, 13, and 14 are possible for $$h(2)$$?
A
$$12$$ and $$13$$ only
B
$$13$$ only
C
$$12$$ only
D
$$13$$ and $$14$$ only
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