From the graph, we are tasked with identifying various properties of the function $f$. Let's start with part (a), which asks for the domain of $f$ in interval notation.

Domain of $f$:

• The domain represents all the possible $x$-values for which the function is defined.
• In the graph, we can see that the parabola extends from $x = -6$ to $x = 6$ on the horizontal axis, without any breaks or gaps.

Thus, the domain of $f$ is: $\boxed{[-6, 6]}$

Would you like help with any of the other parts, or should we move on to the next one?

Here are 5 questions that expand upon the current understanding:

1. What is the range of $f$ based on the graph?
2. How do you find the $x$-intercepts of a function?
3. What is the significance of the intervals on which $f$ is increasing or decreasing?
4. How do you determine if a function is even, odd, or neither?
5. Can you explain how to find the relative minimum from the graph?

Tip: The domain of a function refers to the complete set of input values (typically $x$-values) for which the function is defined. Always check for gaps, holes, or restrictions in the graph to determine the domain.