
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
A company is about to purchase a batch of goods with a unit price of 8 yuan. If sold at 10 yuan per piece, 100 pieces can be sold per day. If the selling price increases by 1 yuan per piece, the daily sales volume will decrease by 10 pieces.
1. Let the increase in the selling price per piece be \(x\) yuan (\(0 \leq x \leq 10\), \(x \in \mathbb{N}\)), and the daily profit be \(y\) yuan. Try to represent the function \(y=f(x)\) using the tabulation method.
2. Calculate the daily sales profit when the selling price is 13 yuan per piece.
3. If the sales profit is 360 yuan, by how much has the selling price increased?

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