In the rectangular coordinate plane, the graphs of functions $f$, $g$ and $h$ are given in the figure.
For functions $f$, $g$ and $h$
$$(f - g)(1) \cdot (f - h)(1) < 0$$
$$(g - h)(2) \cdot (g - f)(2) > 0$$
Given that the inequalities are satisfied, which of the following orderings is correct?
A) $f(3) < g(3) < h(3)$
B) $f(3) < h(3) < g(3)$
C) $g(3) < f(3) < h(3)$
D) $h(3) < f(3) < g(3)$
E) $h(3) < g(3) < f(3)$