In the rectangular coordinate plane, the graph of a function $f$ defined on the closed interval $[-5,5]$ is given in the figure. For distinct numbers $a, b, c$ and $d$ in the domain of this function $$\begin{aligned}
& f(a) = f(b) = 1 \\
& f(c) = f(d) = 3
\end{aligned}$$ the equalities are satisfied. Accordingly, regarding the ordering of $a, b, c$ and $d$ numbers I. $a < b < c < d$ II. $c < a < b < d$ III. $c < d < a < b$ Which of the following inequalities can be true? A) Only I B) Only II C) I and II D) II and III E) I, II and III
In the rectangular coordinate plane, the graph of a function $f$ defined on the closed interval $[-5,5]$ is given in the figure.
For distinct numbers $a, b, c$ and $d$ in the domain of this function
$$\begin{aligned}
& f(a) = f(b) = 1 \\
& f(c) = f(d) = 3
\end{aligned}$$
the equalities are satisfied. Accordingly, regarding the ordering of $a, b, c$ and $d$ numbers\\
I. $a < b < c < d$\\
II. $c < a < b < d$\\
III. $c < d < a < b$\\
Which of the following inequalities can be true?\\
A) Only I\\
B) Only II\\
C) I and II\\
D) II and III\\
E) I, II and III