
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 $y=f(x)$ have a domain of $\mathbb{R}$, $f(1)=2$, and for any $x_1, x_2 \in \mathbb{R}$, it holds that $f(x_1+x_2)=f(x_1)+f(x_2)$. When $x>0$, $f(x)$ is an increasing function. Then, the maximum value of the function $y=-f^2(x)$ in the interval \[-3, -2\] is.

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