
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
Consider the following table of values for \( x \) and \( y \):

\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 & 5 \\
\hline
y & 1 & 4 & 9 & 16 & 25 \\
\hline
\end{tabular}
\]

Which of the following formulas correctly describes the relationship between \( x \) and \( y \)?
**A)** \( y = x^3 \)  
**B)** \( y = x^2 + 1 \)  
**C)** \( y = x^2 \)  
**D)** \( y = 2x^2 \)  
**E)** \( y = x^2 - x \)

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