Постройте график функции f(x)=(x^3-2x^2-4x+8)/(2x^2-8).

\[f(x) = \frac{x^{3} - 2x^{2} - 4x + 8}{2x^{2} - 8} =\]

\[= \frac{x^{2}(x - 2) - 4 \cdot (x - 2)}{2 \cdot \left( x^{2} - 4 \right)} =\]

\[= \frac{(x - 2)\left( x^{2} - 4 \right)}{2 \cdot \left( x^{2} - 4 \right)} =\]

\[= \frac{x - 2}{2};\ \ \ \ \ x^{2} - 4 \neq 0;\ \ \ \ x \neq \pm 2\]