The document discusses graphing logarithmic functions, including y=2x which has no asymptote and a domain and range of all real numbers, y=log2x which has a vertical asymptote at x=0 and domains of x>0 with ranges of y>=0. It also demonstrates translations of logarithmic functions like y=log3(x-2) which has the same vertical asymptote but is shifted 2 units right, and y=logx+3/5 which shifts the graph up 3/5 units.