Answer
Please see the table, graph and explanations below.
Work Step by Step
1. We first calculate the values of $f(x)$ and $g(x)$ at $x=0, 1, 2, 3, 4, 6, 8, 10$ as shown in the table.
Clearly, it can be seen that $g(x)$ increases faster when $x$ value goes higher.
2. We now plot both $f(x)$ and $g(x)$ on the same set of axes. Visually we can see that $g(x)=3^x$ increases sharply when $x$ value exceeds $5$, while $f(x)=x^3$ has a lower rate of increase compared to $g(x)$.
