How do you feel about your ability to find the domain of a function given its rule?

It seems you're asking for a self-assessment regarding the ability to determine the domain of a function based on its rule. Here's a breakdown of the provided responses:

1. **I can find the domain of a function given its rule quickly and accurately, even if the function is the result of an operation on two functions or a composite function.**
- This response indicates confidence and competence in understanding domains, including complex cases.

2. **I can often find the domain of a function given its rule, even if the function is the result of an operation on two functions or a composite function, though sometimes I make mistakes.**
- This response reflects a good understanding with occasional errors, suggesting a strong grasp of the concept but room for improvement.

3. **I can sometimes find the domain of a function given its rule, but I have trouble when the function is a result of an operation on two functions or a composite function.**
- This indicates some understanding but also challenges, especially with more complex functions.

4. **I cannot find the domain of a function given its rule, so I graph the function instead.**
- This response signals a lack of confidence in finding the domain analytically, relying instead on graphical methods.

Choose the response that best reflects your current ability and confidence level regarding finding the domain of functions.