
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 activation function is an important component of neural network models, which is a function added to artificial neural networks. The $\tan h$ function is one of the commonly used activation functions, with an analytical expression of $f(x)=\frac{2}{{1+{e^{-2x}}}}-1$. Regarding the $\tan h$ function, the following conclusions are made:<br/>① The $\tan h$ function is an increasing function;<br/>② The $\tan h$ function is an odd function;<br/>③ For any real number $a$, the function $y=|f\left(x\right)|-ax-1$ has at least one zero point;<br/>④ The curve $y=f\left(x\right)$ does not have a tangent line perpendicular to the line $x+\sqrt{2}y=0$. The correct numbers of all the conclusions are ____.

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