Answer
The graph is shown below.
Work Step by Step
Use a calculator with an $\ln $ key to find the required values approximately.
Substitute $x=0.5,1,2,3$ in the function $g\left( x \right)=0.6\ln x$ and tabulate the values as shown in Table 1.
$\begin{matrix}
x & g\left( x \right)=0.6\ln x \\
0.5 & -0.42 \\
1 & 0 \\
2 & 0.42 \\
3 & 0.66 \\
\end{matrix}$
Plot these points and connect them with a smooth curve as shown below.