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