
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 $f(x)$ be an even function defined on $\mathbb{R}$ such that $f(x) = f(x+2)$ for any $x$, and $f(x) = x + 1$ when $x \in [0, 1]$. Find $f(\frac{3}{2})$: \_\_\_\_\_\_.

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