
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
Define an odd function $f(x)$ on $\mathbb{R}$, where for $x > 0$, $f(x) = -x^2 + 2x - 3$.  
When $x \in [2, 4]$, find the range of $f(x)$;  
When $f(m) = 6$, find the value of $m$.

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