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Do you have a multi meter? If no, buy one. If yes, check voltage of batterry after fully charging, should be close to 13V. Then start the car if possible. At idle, record the amount of volts at the battery. Then check again at 2500, and 3500 RPM, voltage should rise if alternator is charging.
How old is your battery? If over 3 years, buy a new one. Good luck.
First, check to see what voltage is present at the battery (or at the primary power lug on the alternator to ground point) when the car is running at idle and warmed up. It should be near 13.5 vdc. Then turn off the engine and check voltage again. It should be a bit above 12 vdc
With battery [supposedly] fully charged by alternator and car NOT warmed up, turn on your headlamps with Hi-beams on, then turn ignition to START. Watch brightness of headlamps as you turn the ignition key. If the lamps significantly dim when starting, the battery has lost significant 'capacity'. Can't say that it is 'bad'...but it is suspect.
You could remove the battery and have it checked somewhere. But they would need to do a real 'load test' on it. Keep in mind that whatever store you take it to has a GOAL of selling you a new battery....