
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 graph of the function $f(x)$ is symmetric about the $y$-axis, and for any $x \in \mathbb{R}$, $f(x+3)=-f(x)$. If $f(x) = \left( \frac{1}{2} \right)^{x}$ when $x \in \left( \frac{3}{2}, \frac{5}{2} \right)$, evaluate $f(2017)$.

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