Final answer:
A cornice is the correct decorative molding applied to the fascia of a building; it's a horizontal molding that crowns a building and serves functional and ornamental purposes.
Step-by-step explanation:
The decorative molding applied to the fascia of a building could be referred to as a cornice. A cornice is a horizontal decorative molding that crowns a building or furniture element. It's the uppermost section of moldings along the top of a wall or just below a roofline. Its purpose is to throw rainwater off the building to protect the walls and to add decorative detail. Dentil molding is a type of trim that features small, rectangular blocks that look like teeth and is often used in cornices, but can be considered a detail within the broader category of cornice rather than fascia-specific. A barge board is more commonly found on the gable end of a house and is not a molding for the fascia.