To find the $y$-intercepts of the function $f(x)$ based on the data in the table, we need to identify points where $x = 0$. The $y$-intercept is the point on the graph of the function where the graph crosses the $y$-axis, which only occurs when $x = 0$.

From the table:

• When $x = 0$, $f(x) = 0$.

Therefore, the only $y$-intercept is $(0, 0)$.

The correct answer to the question is:

• (0, 0)

Would you like further explanation or have any other questions?

Here are five additional questions related to this topic:

1. What are the $x$-intercepts of this function based on the table?
2. How can you determine if a function is continuous just by examining a table of values?
3. What does the point $(0, 0)$ signify in the context of a function's graph?
4. How can you use the table to estimate the behavior of the function between the given $x$-values?
5. Why is it important to identify both $x$- and $y$-intercepts in a function?

Tip: Remember that for continuous functions, values between table points can often be estimated by interpolation, especially if the values suggest a trend or specific shape.