
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
Given the following statements:
① The domain and the corresponding rule can determine a function.
② The power function $y=x^n$ is an increasing function on $(0, +\infty)$.
③ For the function $y=f(x)$, if $f(a) > 0$ and $f(b) < 0$, ($a \neq b$), then there must be a zero point in the interval $(a, b)$.
Among these statements, the correct conclusion is (fill in the serial number).

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