The table shows three unique, discrete functions.

\begin{tabular}{|c|c|c|c|}
\hline[tex]$x$[/tex] & [tex]$f(x)$[/tex] & [tex]$g(x)$[/tex] & [tex]$h(x)$[/tex] \\
\hline-1 & 2 & 2 & 2 \\
\hline 0 & 3 & 3 & 3 \\
\hline 3 & 2 & 0 & 4 \\
\hline 8 & -3 & -25 & 5 \\
\hline 15 & -10 & -204 & 6 \\
\hline
\end{tabular}

Which statements can be used to compare the characteristics of the functions? Select three options.

A. [tex]$f(x)$[/tex] has the greatest maximum.
B. [tex]$h(x)$[/tex] has the greatest [tex]$x$[/tex]-intercept.
C. [tex]$g(x)$[/tex] has the smallest minimum value.
D. All three functions share the same domain.
E. All three functions share the same [tex]$y$[/tex]-intercept.