Is my transitioning grad student a dependent?

I paid for my daughter's education expenses; she was a full-time graduate student until May but needed to complete one last class, which she took in July and finished in August.   She began renting an apartment on July 1, and started a full-time job on July 8.   We have her 1098-T, which has Box 8, "At least half-time student," checked.  May I claim her as a dependent?