The domain of the function $\displaystyle{f{{\left({x}\right)}}}={\ln{{x}}}\usepackage{cmbright}\Huge\$ is $\displaystyle{x}>{0}\usepackage{cmbright}\Huge\$ . So the graph will not have any point with $\displaystyle{x}={0}\usepackage{cmbright}\Huge\$ . Another way to say this is that the graph will not have any point lying on the y-axis because all those points have $\displaystyle{x}={0}\usepackage{cmbright}\Huge\$ .