
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 function $f(x)=\begin{cases} 12x-x^{3}, & x\leqslant 0, \\ -2x, & x > 0． \end{cases}$, when $x\in(-\infty,m]$ , the range of $f(x)$ is $[-16,+\infty)$, then the range of the real number $m$ is ______.

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