
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 the parametric equations of curve $C$ as $ \begin{cases}x= \frac {t^{2}-4}{t^{2}+4} \\ y= \frac {8t}{t^{2}+4}\end{cases} $ ($t$ is the parameter).
1. Find the Cartesian equation of curve $C$;
2. A line $l$ passing through point $P(0,1)$ intersects curve $C$ at points $A$ and $B$. Find the range of values for $|PA| \cdot |PB|$.

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