In the past, an app had a graph picture just like users from the url
https://graph.facebook.com/APPID/picture
This came from the old app fan pages. Now that apps have migrated to regular fan pages, there are two problems.
1: Old apps still use the picture from the old inaccessible app page and there seems to be no way to change it.
2: New apps just get a question mark with no way to change it.
How can the graph picture be set for apps?
This was a bug that has since been fixed by Facebook.