
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
The graphs of four functions, labelled (2) through (5), are shown. Note that the domain of function (3) is $$\{-6,-5,-4,-3,-2,-1,0,1,2,3\}.$$ Determine the product of the labels of the functions which are invertible. Assume that:
- Function (2) is the graph of a cubic polynomial shown to pass through $(1,0)$, $(2,8)$, and has a local maximum at $x=0$.
- Function (3) has points plotted at $(-6,2)$, $(-5,3)$, $(-4,4)$, and continuing in a linear increasing pattern up to $(3,12)$.
- Function (4) is represented by $y = \tan(x)$ but only for $x$ in the range $(-\frac{\pi}{2}, \frac{\pi}{2})$.
- Function (5) involves a hyperbola $y = \frac{3}{x}$.

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