
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
Given the function $f(x) = |x|$, which of the following functions are equal to the function $y = f(x)$?  
(1) $g(x) = (\sqrt{x})^2$  
(2) $h(x) = \sqrt{x^2}$  
(3) $s(x) = x$  
(4) $y = \begin{cases} x, & x \geq 0 \\ -x, & x < 0 \end{cases}$.

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