Rolex watch serial no f714983 is this real or not

take it to a jeweller for appraisal

Mabe these links will help.
R574371 was made in1987
Rolex Production Dates by Serial Numbers Look Up Tool Chart

https://www.google.com/webhp?sourceid=chrome-instant&rlz=1C1GGGE_enUS385US385&ion=1&espv=2&ie=UTF-8#q=how%20do%20i%20tell%20if%20my%20rolex%20is%20real

wts the serial number

It is Real. F714983

Rolex did make quartz watches. Take it to a Rolex repair or a Rolex sales store. They can tell you if its real or fake.

Have a look at: https://www.bobswatches.com/rolex-blog/rolex-info/the-top-ways-to-spot-a-fake-rolex.html

If your rolex has a serial number inside the case on back of the works it is real. only rolex watches have this kind of number

The quickest way to spot a fake Rolex is by the second hand. Is the second hand ticking or sweeping. If it's ticking it's fake. A real Rolex's second hand moves around the dial in one continuous movement.

Check for a small engraved crown on the crystal at 6 o'clock. Most fakes will have something similar. The difference is that the crown on a real one is almost impossible to see by just your eye.

Look for the word "Rolex" and the watch's serial number engraved at 6 o'clock under the crystal on the area between the crystal and the dial. While many fake Rolex watches post-2005 have this feature, they're usually printed, not engraved.

Most other ways relate to newer Rolex watches.
Hope this helps and hope it's the real deal.