I have learned the importance of having a website and domain to promote myself especially as a Graphic Designer. Credibility and ownership is just the beginning. Having a domain truly builds your credibility. Those who view your page or website will take you more serious. The domain name is your first impression towards your website. The feeling you get when you own your first apartment or own your first car is similar to having your own domain. It is unique and no one else has it. You can get a domain for about $20 per year (maybe more or maybe less depending on where you get it from). Get a .com, but also purchase the rights of .co.uk, .org, .net so no one else can take it. Having a domain really builds your reputation. Not having one gives an amateur look to your page and/or website.
I personally have two websites, one for person and one for business. You can visit my personal website at www.mellyssaangeldiggs.com and my upcoming company website at www.ai-konic-graphics.com. Both websites have a display of my graphic design work and a way to contact me.
It is highly recommended that you realize the importance of having a domain name and get your own domain name registered if you are serious about making a mark on the internet.