Is the word funciona the same in Brazilian and European Portuguese?

Yes

The word "funciona" is identical in meaning, spelling, and grammatical conjugation in both Brazilian and Continental Portuguese. The only difference is pronunciation.

In Brazilian Portuguese, vowels are generally more "open" and clearly articulated. In Continental Portuguese, unstressed vowels (such as the final "a" in "funciona") undergo significant reduction, often sounding much shorter, more closed, or almost swallowed.

Brazilian Portuguese Examples

1. O meu celular não funciona mais. (My cell phone doesn't work anymore.)
2. Essa estratégia funciona muito bem. (This strategy works very well.)
3. Você acha que esse plano funciona? (Do you think this plan works?)
4. O computador não funciona hoje. (The computer is not working today.)
5. Nada funciona nesse aparelho. (Nothing works in this device.)

Continental Portuguese Examples

1. O meu telemóvel já não funciona. (My mobile phone doesn't work anymore.)
2. Esta estratégia funciona muito bem. (This strategy works very well.)
3. Achas que este plano funciona? (Do you think this plan works?)
4. O computador não funciona hoje. (The computer is not working today.)
5. Nada funciona nesse aparelho. (Nothing works in this device.)