When performing CPR on an unresponsive infant, what should you do after giving compressions?

After giving compressions to an unresponsive infant during CPR, the correct action involves checking the airway for obstructions, which includes looking in the mouth for any foreign objects. This step is crucial because an unresponsive infant is at risk of airway blockage, which can prevent effective ventilation and lead to further complications. Clearing the airway allows for effective rescue breaths, which are necessary for oxygenation.

In the context of the other options, assessing responsiveness again would typically come after establishing an airway and providing breaths. Calling for emergency services is important but would generally occur before starting CPR if someone else is present. Attempting to give the infant water is inappropriate because it could cause choking and does not address the need for ventilation in an unresponsive individual. Thus, checking the mouth for objects ensures that immediate steps are taken to maintain a clear airway and support the infant's chances of survival.