
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 $h(x)$ be a function with a domain of $[-1,3]$ and a range of $[0,2]$. Define a new function $q(x)$ as:
\[ q(x) = 2 - h(x - 2). \]
Determine the domain and range of $q(x)$, and provide the ordered quadruple $(a, b, c, d)$ where $[a, b]$ is the domain and $[c, d]$ is the range of $q(x)$.

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