What is another name for fax machine?

Of course "fax" is a shortening of "facsimile", so early machines were often called "facsimile machines" and people referred to sending a fax as "sending a facsimile". A couple of other names, are telefax and telecopier. Today, a common kind of machine is a multi-function machine that is a copier/scanner/printer/fax. These are called multi-function machines, multi-function printers, or all-in-one's.