
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, each represented by a graph, labelled (2) through (5). The domain of function (3) is now $$\{-6, -5, -4, -3, -2, -1, 0, 1, 2, 3\}.$$ Determine the product of the labels of the functions which are invertible. Assume:
- Function (2) is \( y = x^3 - 2x \) on \([-2, 4]\),
- Function (3) has discrete points plotted at \((-6, 0), (-5, 2), (-4, 4), (-3, 6), (-2, 5), (-1, 3), (0, 0), (1, -3), (2, -5), (3, -6)\),
- Function (4) is \( y = -\tan(x) \) on \([- \frac{\pi}{2}, \frac{\pi}{2}]\) excluding \( x = 0 \),
- Function (5) is \( y = 3/x \) on all real numbers excluding \( x = 0 \).

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