How can secure connectivity be established between on-premises networks and Azure?

Establishing secure connectivity between on-premises networks and Azure is a crucial aspect of cloud resource management and hybrid cloud architectures. The use of Azure VPN Gateway is the correct method because it is specifically designed for creating secure site-to-site connections between an on-premises infrastructure and Azure virtual networks. It uses encryption protocols to ensure that data transmitted between the two environments is secure, and it can support various types of VPN connections, including policy-based and route-based connections.

In comparison, other options do not serve the purpose of establishing secure connectivity. Azure SQL Database is primarily a database service and does not handle network connectivity by itself. Azure Blob Storage is a storage solution for unstructured data and lacks networking capabilities for secure connectivity. Azure Functions, while a powerful serverless compute option, does not provide networking features either. Therefore, using Azure VPN Gateway is the most appropriate solution for creating a secure connection between on-premises networks and Azure.