Step 1
Step 2
The dotted curve is the graph of \(\displaystyle{{\log}_{{{2}}}{x}}\).
The graph of \(\displaystyle{\frac{{{1}}}{{{2}}}}{{\log}_{{{2}}}{\left({x}\right)}}\ \text{is the graph of}\ {{\log}_{{{2}}}{x}}\ \text{stretched vertically by a scale factor of}\ {\frac{{{1}}}{{{2}}}}.\)
Its asympote is the line \(\displaystyle{x}={0}\).
It can be seen from the graph that the domain of the function is the set of all x to the right of the asymptote, that is \(\displaystyle{x}\ {>}\ {0}\).
The range of the function is the whole of \(\displaystyle{\mathbb{{{R}}}}\).