
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 $$\{-6,-5,-4,-3,-2,-1,0,1,2,3\}.$$ Function (3) is represented by distinct points on the graph. Determine the product of the labels of the functions which are invertible. Assume the following descriptions:
- Function (2): Graph of a quadratic function opening upwards.
- Function (3): Graph represented by distinct points with no two points having the same y-coordinate.
- Function (4): Graph of the arctangent function.
- Function (5): Graph of the function $y = \frac{5}{x}$.

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