
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 the function $e^{x}f(x)$ (where $e\approx2.71828…$ is the base of the natural logarithm) is monotonically increasing over the domain of $f(x)$, then the function $f(x)$ is said to have property $M$. Among the following functions, the ones that have property $M$ are indicated by the serial numbers \_\_\_\_\_\_.  
$①f(x)=2^{-x}$ $②f(x)=3^{-x}$      $③f(x)=x^{3}$ $④f(x)=x^{2}+2$.

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