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 $g(x)=4^x$ increases sharply when $x$ value exceeds $5$, while $f(x)=x^4$ has a lower rate of increase compared to that of the $g(x)$.
