
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 that $f(x)$ is an odd function on the real number line $\mathbb{R}$, and it is given that $f(1) = 2$. When $x > 0$, $f(x)$ is an increasing function. Moreover, for any $x, y$ it satisfies $f(x + y) = f(x) + f(y)$. Find the maximum value of $f(x)$ in the interval $[-3, -2]$.

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