All In One (AIO) or a Multi Function Copiers (MFC) printers are a couple. Some manufacturers have there own naming schemes.
all in one printer, which has scanner, printer, copier, and fax
Yes, a wireless "all-in-one" printer can send a fax. Note that the fax printer will need to be connected to a telephone line; only the transmission from your computer to the fax printer is wireless.
When it receives a fax it prints the transmission out.
It could be seen as an input device (it acts as a scanner), and output device (it acts as a printer), or as a transmission device.
If you connect your printer/fax combination machine to your phone line, yes, it would be your home number. Which means people that call your house will get the fax machine.
A fax number is the number of the phone line you have connected to the fax machine. An example would (968) 273-3862.
A phone/scanner/copier/printer/fax machine in one.
Multi Function Devices (called All in One) device with printer scanner fax photocopier
No, it is classed as an output device - same as the computer's monitor. Both of which show the result of your input from the keyboard, etc.
input
no, it does not have fax capability
It means when you are controlling the device for e.g. phone, computer, printer and etc.