
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
If the function $y=f(x)$ ($x \in \mathbb{R}$) satisfies $f(x+2)=f(x)$, and when $x \in [-1,1]$, $f(x)=1-x^2$, and the function $g(x)=\lg|x|$, then the number of intersection points between the graphs of $y=f(x)$ and $y=g(x)$ in the interval $[-5,5]$ is.

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