Which service type supports network analysis capabilities?

The correct choice is based on the specific capabilities associated with each service type within the Esri geospatial framework. A Map Service primarily provides the ability to display various types of map layers, including dynamic and cached maps. A fundamental aspect of a Map Service is its capacity to handle geographic data visualization, which includes incorporating base maps, operational layers, and thematics.

However, the highlighted capability of network analysis, which involves performing analyses such as routing, closest facility, service area, and other network-related calculations, aligns closely with what a Feature Service can provide. Specifically, a Feature Service can manage and analyze feature data, which includes operational layers that support interactions like querying, editing, and performing spatial analyses, including network-related functions.

In addition, while Image Services are focused on raster data and Geodata Services are geared towards handling geodatabase functionality, the primary role of a Map Service is not inherently designed for performing network analysis. Thus, the correct selection here should be the Feature Service, which distinctly supports the advanced capabilities associated with network analysis.