
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
For the function $$f(x)= \begin{cases} \left.\begin{matrix}2x-x^{2} & (0≤x≤2) \\ x^{2}+6x & (-4≤x＜0)\end{matrix}\right.\end{cases},$$ find the value range of the function.

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