
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
Identify the minimum value, maximum value, and the range of the function \( y = \left\{ \begin{array}{ll} 
2x, & 0 \leq x \leq 1, \\ 
2, & 1 < x \leq 2, \\ 
3, & x > 3 
\end{array} 
\right. \).

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