
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
If $f(x)$ is an even function defined on $(-\infty, +\infty)$, and for all $x_1, x_2 \in [0, +\infty) (x_1 \neq x_2)$, it holds that $\frac{f(x_2) - f(x_1)}{x_2 - x_1} < 0$, determine the correct ordering of $f(-2)$, $f(1)$, and $f(3)$.

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