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Australian woman used her BYD electric car to power her son's dialysis machine during a blackout
(www.businessinsider.com)
This is a most excellent place for technology news and articles.
Except a battery is converting chemicals and using their reactions to generate electricity. Think of it more like a reservoir with a hydro plant. Your feed in electricity, the hydro plant pumps water in the tank, then during a blackout? The reservoir empties itself through the turbine, re-generating electricity. The cars battery does a similar thing. It takes electricity to change the state of the chemicals, then lets the chemicals react to generate electricity.