Final answer:
Azure Functions is the Azure service that provides serverless computing functionalities, allowing execution of code in response to events without managing infrastructure.
Step-by-step explanation:
The technology in Azure that provides serverless computing functionalities is Azure Functions. Azure Functions is an event-driven, compute-on-demand experience that extends the existing Azure application platform with capabilities to implement code triggered by events occurring in Azure or third party service as well as on-premises systems. It allows developers to write less code, maintain less infrastructure, and save on costs.
Other options mentioned, such as Azure Kubernetes Service and Azure Virtual Machines, offer ways to manage containerized applications and virtualized infrastructure respectively but do not offer a serverless computing model. Similarly, the Azure SQL Database provides managed database services but is not directly involved in serverless computing.