
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
Determine which function's graph is depicted:
a) \( y = x^3 + x^2 + x + 1 \)
b) \( y = x^3 + 2x^2 + x + 1 \)
c) \( y = x^3 + x^2 + 3x + 1 \)
d) \( y = x^3 + x^2 + x - 1 \)

![](https://cdn.mathpix.com/cropped/2024_05_06_4fa7d7fb730a8666e646g-1.jpg?height=383&width=828&top_left_y=591&top_left_x=634)

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