A method and apparatus in which the liquid crystal material having cross-over frequency is used for displaying an image, the liquid crystal material is dispersed in the transparent polymer in a phase-separated state, a first voltage signal having a first frequency lower than the cross-over frequency is applied to the liquid crystal material to orient reversibly the liquid crystal material to a first direction to display temporary information, then a second voltage signal having a magnitude higher than the first voltage is selectively applied to orient permanently the liquid crystal material to the first direction to display permanent information and a third voltage signal having a second frequency higher than the cross-over frequency is selectively applied to orient the liquid crystal material perpendicularly to the first direction, to erase the permanent information. The dynamic image and the memorized static image is displayed interchangeably by selecting the applied voltage signal having a specific frequency range.