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) $h(3) < g(3) < f(3)$

In the rectangular coordinate plane, the graphs of the functions $f + g$ and $f \cdot g$ defined on the closed interval $[0, 10]$ are shown below.
For the real numbers $a, b$ and $c$ in the closed interval $[0, 10]$,

• $f(a), f(b)$ and $g(b)$ values are positive,
• $g(a), f(c)$ and $g(c)$ values are negative.

Accordingly, which of the following is the correct ordering of $a, b$ and $c$?
A) $a < c < b$ B) $b < a < c$ C) $b < c < a$ D) $c < a < b$ E) $c < b < a$

In the rectangular coordinate plane, the graphs of $f$, $g$, and $h$ linear functions defined on the closed interval $[0,1]$ are given in the figure.
Let $a$ and $b$ be real numbers in the open interval $(0,1)$ and
$$f(1) = g(1)$$
$$f(a) = g(b) = h(b)$$
equalities are satisfied.
Accordingly, which of the following orderings is correct?
A) $f(a) < h(a) < g(a)$ B) $g(a) < f(a) < h(a)$ C) $g(a) < h(a) < f(a)$ D) $h(a) < f(a) < g(a)$ E) $h(a) < g(a) < f(a)$