This is given by decomposition of solution (or dissolved electrolyte) on one hand and by stability of electrode material on the other hand. So you should specify in which solution you want to provide your measurements. Please follow the references on the page 1098 of attached PDF (section IV. ELECTROACTIVITY RANGE OF THE G.C.ELECTRODE). Maximal refered values I have seen in Appendix B (the same pdf file) were +3.6 V and -3.2 V. Using propylene carbonate with KPF6 as supporting electrolyte you can measure at this extremely wide potencial range.
iupac.org/publications/pac/56/8/1095/pdf/
it may cause hydrogen evolution which decreases the pH of solution and dissolution of analyt onto electrode surface if covered by some complex such as graphen or carbon nano
The maximum working potentials for a glassy carbon electrode depends on the Solvents , acidity and Electrolytes.
Aqueous Electrolytes, ex.KCl, Na2SO4, H2SO4, etc. or
Non-Aqueous Electrolytes: CH3CN, DMF, DMSO, THF and electrolytes (LiClO4, tetrabutylammonium hexafluorophosphate (Bu4NPF6), tetrabutylammonium tetrafluoroborate (Bu4NBF4).
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