How can you determine if a voltaic cell is reversible (rechargeable) before testing it?

To jog your memory, a voltaic cell is formed by two half-cells connected by a salt bridge. Electrodes are placed in the half-cells, and the electrodes are made of two different metals. When the electrodes are connected by a wire, one of the metals oxidizes and is dissolved in the solution, while the other is reduced and removed from the solution. Ions can flow across the salt bridge, but the fact that the two metals do not touch forces electricity to flow through the circuit, instead of simply producing heat.

To reverse this reaction, electricity is applied in the opposite direction. The cathode becomes the anode, and vice-versa. However, not are cells are reversible. How can I tell if a cell is reversible without simply testing it?