Can a Domain name be considered a business when used as a portfolio for college work?

I am appling for social services. During the summer, before the application process, I rented web space and a domain name, which i am going to use as a portfolio for school work (i am taking web design). The dept of Social Services has implied that i have a business under the same name as the domain. I have not made any money from this website or alleged business nor have a done a DBA. Can they prove I have a business? The site is not used for commercial work.

It would depend upon the nature of the website. The domain name would not be the business – the site could be.