
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
Investigate the function

$$
f(x)=\left\{\begin{array}{l}
x^{3}, \text{ if } |x| \leq 1 \\
1, \text{ if } |x| > 1
\end{array}\right.
$$

for continuity and determine the nature of any points of discontinuity.

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