Is there a way with Azure Functions to force connections to be over HTTPS?
I'm not seeing it in the App Settings, and I don't see any reference to web.config for Azure Functions.
Update November 2017
In the Azure portal, go to your function app.
Platform features > Custom Domains > toggle HTTPS Only to 'On'.
Anyone using HTTP will receive a 301 Moved Permanently and be redirected to the HTTPS endpoint. You do not need to actually add a new hostname/domain to toggle this feature. This appears to work with both consumption and app service plans.