
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 f(x) = 2$\sqrt {3}$sin(x)cos(x) + 2cos²(x) - 3.

1. Find the range of y = f(x) on the interval [0, $\frac {π}{2}$].
2. In △ABC, a, b, and c are the sides opposite to angles A, B, and C, respectively. If f(A) = -1 and b + c = 2, find the range of possible values for a.

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