
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
Which of the two functions

$$
y = 1000x \quad \text{and} \quad y = \frac{x^2}{1000}
$$

increases faster as $x$ increases from 0 to $+\infty$?

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