\[g(x) = \left\{ \begin{matrix} \frac{8}{x};\ \ \ \ \ \ \ \ \ \ \ \ x < - 2 \\ 2x;\ \ - 2 \leq x \leq 2 \\ \frac{8}{x};\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x > 2 \\ \end{matrix} \right.\ \]
\[D(g) = R;\ \ E(g) = \lbrack - 4;4\rbrack.\]
\[y = 0\ \ при\ x = 0;\]
\[y > 0\ \ при\ x > 0;\]
\[y < 0\ \ при\ x < 0.\]
\[Функция\ возрастает\ при\ \]
\[x\lbrack - 2;2\rbrack;\]
\[функция\ убывает\ при\ \]
\[x( - \infty; - 2) \cup (2; + \infty).\]