
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
Let the function $f(x)$ have domain $D$. If there exists a non-zero real number $l$ such that for any $x \in M$ (where $M \subseteq D$), we have $x+l \in D$ and $f(x+l) \ge f(x)$, then $f(x)$ is called an $l$-increment function on $M$. If the function $f(x) = x^2$ with domain $[-1, +\infty)$ is an $m$-increment function on $[-1, +\infty)$, then the range of the real number $m$ is ______.

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