Some systems include an "economizer mode", which is sometimes called a "free-cooling mode". When economizing, the control system will open (fully or partially) the outside air damper and close (fully or partially) the return air damper. This will cause fresh, outside air to be supplied to the system. When the outside air is cooler than the demanded cool air, this will allow the demand to be met without using the mechanical supply of cooling (typically chilled water or a direct expansion "DX" unit), thus saving energy. The control system can compare the temperature of the outside air vs. return air, or it can compare the enthalpy of the air, as is frequently done in climates where humidity is more of an issue. In both cases, the outside air must be less energetic than the return air for the system to enter the economizer mode.
Pro Tips: Before you buy one of the learning thermostats available, you should beware of their shortcomings. First, many require a c-wire to work properly. A common problem is that the old thermostat might not use a c-wire, and this makes it confusing when swapping wires to the new thermostat. Secondly, if you change your thermostat setting often, you might become frustrated with a nest thermostat or other learning thermostat. It will be constantly trying to learn patterns in your random setting changes, and will therefore change your home’s temperature when you don’t want it to. If you have a fairly consistent schedule or don’t mind overriding the unit either manually or via the app on your way home or when leaving, then you won’t experience this issue.
In addition to the information below, see these two articles for the general care and maintenance of your air conditioner: Preparing Your Air Conditioner for Summer and How to Replace Furnace & AC Filters. Most noteworthy, you should replace the filters at least twice a year, before the heating and cooling seasons. For information on furnace problems, please see Furnace Not Working.