## College Algebra (6th Edition)

$\left.\begin{array}{lll} & f(x)=\log_{2^{X}} & g(x)=\log_{2}(x-1)+1\\ domain & (0,\infty) & (1,\infty)\\ range & (-\infty,\infty) & (-\infty,\infty)\\ asymptote & x=0 & x=1 \end{array}\right.$
1.Create a table for graphing f(x), plot several points and join with a smooth curve. 2. $g(x)=f(x-1)+1$ The graph g(x) is obtained from f(x) by (i) shifting it right by 1 unit, then (ii) shifting up by 1 unit 3. Read the graph for : $\left.\begin{array}{lll} & f(x)=\log_{2^{X}} & g(x)=\log_{2}(x-1)+1\\ domain & (0,\infty) & (1,\infty)\\ range & (-\infty,\infty) & (-\infty,\infty)\\ asymptote & x=0 & x=1 \end{array}\right.$