
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 annual production of a certain product in a factory in 2005 was $a$. If the annual growth rate of this product is $x$, then calculate the function relationship between $x$ and the annual production of this product in 2010 in this factory, denoted by $y$.

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