Setting up a custom domain with an Azure Function app

Question

I have an Azure Function app running on dynamic pricing and am trying to set up a custom domain.

I have added and verified the domain and setup the CNAME record accordingly. The custom domain shows up correctly as the "URL" when I view the App Service settings in the Azure portal. If I try to use this domain, however (to access an HTTP trigger function), I am returned with "Error 404 - Web app not found."

When I look at the Function URL in the portal, it still shows the x.azurewebsites.net domain, not the custom domain I have added. Is there anything additional I need to do to get Functions working with a custom domain?

Solution

Copying from my answer on MSDN forum:

Indeed, custom domains are not yet supported for Dynamic Function plans. This support will come a bit later (no clear ETA to share at this point).