
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
Below is a portion of the graph of an invertible function, $y=f(x)$:

[Graph remains the same as in the previous problem.]

If $f(a) = 3$ and $f(b) = 6$, then what is the value of $a \cdot b$?

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