
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 graphed below, labeled (6) through (9). The domain of function (7) is $\{-6, -5, -4, -3, -2, -1, 0, 1\}$. Assess which of these functions are invertible:
- Function (6): $y = x^3 - 3x$ graphed from $x = -2$ to $x = 2$.
- Function (7): Only discrete points given are $\{(-6, 3), (-5, 1), (-4, 2), (-3, -1), (-2, 0), (-1, -2), (0, 4), (1, 5)\}$.
- Function (8): $y = \sin(x)$ graphed from $x = -\frac{\pi}{2}$ to $\frac{\pi}{2}$.
- Function (9): $y = 3/x$ graphed from $x = -4$ to $x = 4$, not including $x = 0$.

Find the product of the labels of the functions that are invertible.

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