If you don't already have all of the circuits mapped out in your home, this would be a great time to get on this project. Grab a radio and a helper to label each outlet and lighting device and appliance with it's corresponding circuitbreaker number.
Once you know for sure which circuit breaker(s) protects the receptacles in question, only then are you ready to start trouble-shooting.
If your panel has circuit breakers (you refer to "switches"), turn the breaker firmly to the "off" position, then back to the "on" position. If you hear a click, and/or the breaker visibly trips, you have a dead-short in the circuit. You would need to go and hunt down the short-circuit condition -- WITH THE POWER OFF TO THAT CIRCUIT. As was suggested, it could well be a faulty receptacle. Take out the old one and replace it with a new one. Make sure you connect the wires exactly like the old one. Do not use backstabbed connections. Strip the end of the wire 5/8 inch, and tighten the wire under the screws with the wire running in a clockwise direction around and under the screw.
If turning the breaker off/ on does not immediately re-trip the breaker, but the receptacles still are not working, then you need to do further testing (or call an electrician). Buy a $10 circuit analyzer from the local hardware store. It looks like this
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the breaker back on to test. If the lights on the tester light up, you have an open neutral. Turn off the circuit breaker, and call an electrician. If the tester does not light up, you have an interruption in the non-grounded (hot) wire or a faulty breaker. Mr Fixit eh