
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 function $y=3\sin\left(\frac{1}{2}x+\frac{\pi}{6}\right)-1$  
(1) Explain how the graph of this function can be obtained by translating and scaling the graph of $y=\sin x$.  
(2) Find the maximum and minimum values of the function and the set of $x$ values for which these extreme values are achieved.

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