
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 \( f(x) \) be an odd function defined on \(\mathbf{R}\), satisfying the following two conditions: (1) For any \( x, y \in \mathbf{R} \), \( f(x+y)=f(x)+f(y) \); (2) When \( x>0 \), \( f(x)<0 \), and \( f(1)=-2 \). Find the maximum and minimum values of the function \( f(x) \) on the interval \([-3, 3]\).

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