
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 that A, B, C are three distinct points on the line l, and O is a point outside of line l. The vectors $\overrightarrow {OA}$, $\overrightarrow {OB}$, and $\overrightarrow {OC}$ satisfy the equation $\overrightarrow {OA}=( \frac {3}{2}x^{2}+1) \overrightarrow {OB}-(lnx-y) \overrightarrow {OC}$, where y=f(x).

1. Find the analytical expression of the function y=f(x).
2. Find the monotonic intervals of the function y=f(x).

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