
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
Identify the pair(s) of expressions from the following groups that represent the same function:

1. $y = x$ and $y = \frac{x^2}{x}$
2. $y = x^2$ and $y = (x+1)^2$
3. $y = \sqrt{x^2}$ and $y = |x|$
4. $y = x$ and $y = 3x^3$.

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