(serial number, model number)
That's a function mapping each serial number to its model number.
(part number, serial number)
That's not a function; the same part number is in computers with different serial numbers
(model number, part number)
That one's a bit confusing. Normally a given model would have more than one part number inside so this isn't a function. But here the description says there's only one part number for each model, so that would be a function.
(model number, serial number)
Not a function, more than one serial number for a given model number.
hope it helps