
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 $$f(x)=ax^{3}-3x^{2}+1- \frac {3}{a}$$.
(I) Discuss the monotonicity of the function $f(x)$;
(II) If the tangents at points A and B on the curve $y=f(x)$ are both perpendicular to the y-axis, and the line segment AB has a common point with the x-axis, find the range of values for the real number $a$.

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