
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
Among the following statements, the correct ones are:  
① A linear function has only one zero within its domain;  
② A quadratic function has at most two zeros within its domain;  
③ An exponential function has no zeros within its domain;  
④ A logarithmic function has only one zero within its domain;  
⑤ A power function may have zeros within its domain, or it may not;  
⑥ The function $y=f(x)$ has at most two zeros.

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