
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The equation of curve \( W \) is \( \sqrt{x^{2} + (y + 1)^{2}} \cdot \sqrt{x^{2} + (y - 1)^{2}} = 3 \)
1. Please write down an equation of one of the axes of symmetry for the curve \( W \): \_\_\_\_\_\_;
2. Please provide the coordinates of two points on the curve \( W \): \_\_\_\_\_\_;
3. The range of the \( y \)-coordinates for points on the curve \( W \) is: \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
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