
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
Determine the correctness of the following five propositions:
① A linear function has only one zero point within its domain.
② A quadratic function has at most two zero points within its domain.
③ An exponential function has no zero points within its domain.
④ A logarithmic function has only one zero point within its domain.
⑤ A power function may or may not have a zero point within its domain.
List the numbers of the correct propositions. (Only the exact correct combination will be awarded points; missing or additional selections will not score.)

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