
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
If a series of functions have the same analytical expression and the same range, but different domains, then these functions are called "homologous functions". Then, how many "homologous functions" are there whose analytical expression is $y=x^2$ and whose range is $\{4, 9\}$?

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