um, yeah.. we can tell you like French cars
so, what does "graph" mean then?
not graphics? ..like graphs and charts?
anyway, I agreed with someone that the F was too short and the g as well.
I also thought they were all a little stretched looking, so I redrew the letters, extended the F and g, and then condensed them all to have more similar stroke weights on both axis.. and then I played around with a few ideas for you.
(by the way, your definition of a logo is a good one.. we know better, but a lot of us don't abide by that, myself included, for whatever reason... like slang... a new form of expression is sweeping the commercial landscape, and it's not all good, but it starts to take root & carve out a niche... for better or worse)