What is a decorative molding applied to the fascia called?

The correct answer is cornice. A cornice is a decorative molding that is typically applied to the fascia, which is the board that runs along the edge of the roof. This architectural element enhances the visual interest of the building, providing a finished appearance where the roofline meets the wall.

Cornices serve both functional and aesthetic purposes; they can help in directing rainwater away from the fascia to prevent moisture-related issues, and they contribute to the overall style and character of a structure. Architects and builders often use various designs and materials for cornices to complement the design of the building, making them an important feature in roofing and exterior design.

Other options like trim generally refer to a broader category of molding or finish applied to various surfaces in a building. Gutters are water drainage systems that are installed along the edge of the roof, and caps are typically used to refer to protective coverings for posts or other structures. While these elements may be decorative or functional, they do not specifically describe the type of molding that is applied directly to the fascia in the same way that a cornice does.