
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 that $f(x)$ is an even function with domain $\mathbb{R}$ and $f(x+2)=f(x)$. When $x \in [1, 2]$, $f(x) = x^2 + 2x - 1$. Find the expression of $f(x)$ on the interval $[0, 1]$.

A) $x^2 - 2x - 1$
B) $x^2 + 2x - 1$
C) $x^2 - 6x + 7$
D) $x^2 + 6x + 7$

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