The cable is brand new. Just purchased a new monitor, and yes, computer stays on and still has sound. I thought it may have been the cpu overheating, but I cleaned and put new thermal paste on and it is still loosing display.
I did that this first thing this morning, I contacted Asus via online chat. They directed me to AMD, and I downloaded the most current drivers for the graphics card. Apparently they have been having problems with this card, and drivers. My display has not crashed so far at all since update. Thank you for your time, and answers. It helped to point the problem out.