I have the 1.4x Extender which I use with a 70-200mm f2.8 IS L lens. This give the equivalent of 98-280mm f4 but retains the IS and other automated functions. To the best of my knowledge, it should work with L lenses so should work with the f4. Just Googled and found a review but you could Google this or look on the Canon website. One thing that you should know is that autofocus on some Canon Cameras may be seriously deteriorated for apertures of f5.6 and above. So with my f2.8 equating to f4 focusing is still fast and accurate but a colleague at a birds in flight photo shoot had to give up with his f4/extender combination as focussing was too slow. I also recall another Club member with the f4 offering a sizeable sum of money in addition for a straight swap with my f2.8; of course I refused. To be honest the 280mm is not really long enough even for small birds in parks and gardens but I do not have anything longer at the moment.
Dave