From the given table and the problem:

The table shows the $x$ and $y$ values, and the task is to identify where the function $y$ is increasing.

We determine whether the function is increasing or decreasing by analyzing how the $y$-values change as $x$-values increase.

Steps:

1. Look at the table row by row:
   • From $x = -3$ to $x = -2$, $y$ decreases (6 → 0): Decreasing.
   • From $x = -2$ to $x = -1$, $y$ decreases (0 → -4): Decreasing.
   • From $x = -1$ to $x = 0$, $y$ decreases (-4 → -6): Decreasing.
   • From $x = 0$ to $x = 2$, $y$ increases (-6 → -4 → 0): Increasing.
   • From $x = 2$ to $x = 4$, $y$ increases (0 → 6): Increasing.

Answer: The intervals where $y$ increases are:

• $0 < x < 2$ (option B) and
• $2 < x < 4$ (option A).

If asked for a single answer from the provided options, the correct interval where the function increases is B: $0 < x < 2$.

Would you like further clarification or a detailed explanation of this? Here are some additional related questions:

1. How can we distinguish increasing and decreasing intervals mathematically?
2. Why is the function not considered increasing for $x < 0$?
3. What are other methods to find increasing/decreasing intervals (like derivatives)?
4. Can this table represent a continuous function? Why or why not?
5. How would we analyze the graph of this function if plotted?

Tip: Always focus on comparing the change in $y$-values relative to the $x$-values to assess the trend of a function effectively!