
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 the function $f(x)$ satisfies: for any real numbers $x_1 < x_2$, it holds that $f(x_1) > f(x_2)$, and $f(x_1+x_2) = f(x_1) \cdot f(x_2)$. Please write down a function $f(x)$ that meets the conditions. (Note: You only need to write down one function.)

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