
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
Define an even function \(f(x)\) on \(\mathbb{R}\) that satisfies \(f(x) = f(x+2)\), and when \(x \in [-1,0]\), \(f(x) = 3^{x}\). Then, find the value of \(f(-\frac{15}{2})\).

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