
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 function $f(x)$ defined on $\mathbb{R}$ satisfies: (1) The graph of $y = f(x - 1)$ is symmetric about the point $(1, 0)$; (2) For all $x \in \mathbb{R}$, $$f\left( \frac {3}{4}-x\right) = f\left( \frac {3}{4}+x\right)$$ holds; (3) When $x \in \left(- \frac {3}{2}, - \frac {3}{4}\right]$, $f(x) = \log_{2}(-3x + 1)$, then find $f(2011)$.

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