Yes, it does. All AMD GPUs support eyefinity.
http://products.amd.com/pages/graphiccardresult.aspx?f1=PC&f2=&f3=ATI+Radeon%E2%84%A2+HD+4800&f4=&f5=&f6=&f7=&f8=&f9=&f10=&f11=&f12=&f13=&f14=&f15=&f16=&&AspxAutoDetectCookieSupport=1
That is the specifying we meant. With a 7950, yes, you can run...