An old Sony FullHD Tv and HDMI black level

I have an old Sony KDL 40bx400, it's a FullHD Tv but I wonder if this TV supports Full RGB color range?

I cannot find any setting (black level, Dynamic range?) for this in my TV settings...Does that mean this TV only supports limited range or what ? Trying to get this right while using my PS4. Any help would be appreciated