
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 $f(x)$ be defined on the set of real numbers, and its graph is symmetric about the line $x=1$. Also, when $x \geq 1$, $f(x) = 3^x - 1$. Then, the order of $f(-2)$, $f(0)$, $f(3)$ from smallest to largest is.

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