That looks like something that works alongside the dummy gauges on the dashboard, only this plugs into the 12v cigar lighter.....so you can have a better idea of how the battery is doing....
IMHO, I'd just take the battery to Walmart, and have them bench test it for you....honestly....
They do it free anyways....they may try selling you a new battery....but unless you REAALLLY want to spend the money on the battery charger (like, if you got a lawn mower, or marine battery that needs ocassional charging...) then I wouldn't worry about buying a battery charger.
a) bring the car AND battery into Walmart - they can test the starter, alternator, and battery all at the same time, or,
b) carry in just the battery, and they can test your battery only.
But, I've found sometimes a faulty charging system (alternator diode(s), starter, etc...) will "take a toll" on an otherwise "good" battery.
P.S. if your battery has removable vent caps, check the levels....they should all be about even.....if not, add some distilled water....if you dont happen to have distilled water, filtered BRITA/etc....water will work "in a pinch"...