
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
Four functions are graphed, each labeled from (6) through (9). The domain of function (8) is $$\{-6, -5, -4, -3, -2, -1, 0, 1, 2, 3\}.$$ Determine the product of the labels of the functions that are invertible. The functions are as follows:
- Function (6) is defined by \( y = x^3 - 3x \) for \(x\) from \(-2\) to \(3\).
- Function (7) consists of discrete points \((-6, 2), (-5, 5), (-4, 0), (-3, -3), (-2, -5), (-1, -4), (0, -2), (1, 1), (2, 4), (3, 6)\).
- Function (8) is defined by \( y = \tan(x) \) for \(x\) in \([- \frac{\pi}{2}, \frac{\pi}{2}]\) excluding \(x = 0\).
- Function (9) is defined by \( y = \sqrt{x} \) for \(x\) from \(0\) to \(4\).

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