
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
The function $f(x)$, where $x \in \mathbb{R}$, satisfies the following properties: $f(x) + f(-x) = 0$, $f(\frac{3}{4} + x) = f(\frac{3}{4} - x)$, and $f(1) = 3$. Find the value of $f(2)$.

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