
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 function $f$ is graphed as provided, and each small box has width and height 1. [Include graph from original problem]

Kevin writes the number 5 on his thumb. He then applies $f$ to 5 and writes the output on his next finger. If Kevin continues this process of applying $f$ and writing the output on a new finger, what number will Kevin write on his fifteenth finger?

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