
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
Consider four functions, labelled from (6) to (9). The domain of function (7) is $\{-6, -5, -4, -3, -2, -1, 0, 1\}$. Determine the product of the labels of the functions that are invertible. The graphs are as follows: 
- Function (6): $y = x^3 - 3x$
- Function (7): A set of discrete points: $\{(-6, 3), (-5, -5), (-4, 1), (-3, 0), (-2, -2), (-1, 4), (0, -4), (1, 2)\}$
- Function (8): $y = \tan(x)$, defined over $(-\frac{\pi}{2}, \frac{\pi}{2})$
- Function (9): $y = \frac{5}{x}$, defined over all real numbers except $x = 0$

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