Let $\displaystyle g(x) = \frac{1}{(x+3)^{3}}$.
(a) Complete the table below for $x$-values close to $-3$. If a value is undefined, enter NONE.

Based on the values in the table, what happens to the values of $g(x)$ as $x$ approaches $-3$
From the left? $g(x) \to$ help (limits)
From the right? $g(x) \to$ help (limits)

(b) Complete the two tables below to see how $g(x)$ behaves in the long-run. If a value is undefined, enter NONE. Enter exact answers using fractions instead of long decimal answers.

Based on the values in your table, what happens to the values of $g(x)$
As $x$ takes very large positive values? $g(x) \to$ help (limits)
As $x$ takes very large negative values? $g(x) \to$ help (limits)

(c) Without a calculator, graph $y=g(x)$ on a piece of paper. If there is more than one answer below, enter your answers as a comma separated list. If there are no solutions, enter NONE.
What are the vertical asymptote(s)? $x =$ help (numbers)
What are the horizontal asymptote(s)? $y =$ help (numbers)