Standard toilets are connected to a gravity drain like the rest of the plumbing fixtures in the house. In a situation where a toilet is being added to a space with a concrete slab underneath, the typical and best approach is to either jackhammer the floor or tunnel underneath the home to install a new gravity drain pipe.
If this cannot be done for whatever reason, they sell macerating toilets or upflush toilets as an option. Instead of being connected to a gravity drain, these toilets are connected to a pump that grinds the waste to a sludge and pumps it some distance to wherever it can connect to a traditional gravity drain. While these are used in some situations, they are not common at all in the North DFW area and present their own set of installation and maintenance considerations.