
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 the center of ellipse C is at the origin, its focus is on the x-axis, D(0,2) is one endpoint of the minor axis of ellipse C, F is the right focus of ellipse C, and the extension of line segment DF intersects with ellipse C at point E, with |DF|=3|EF|.

1. Find the standard equation of ellipse C.
2. Suppose line l intersects with ellipse C at points A and B, and O is the coordinate origin. If the product of the slopes of lines OA and OB is $- \frac {3}{2}$, find the range of values for $\overrightarrow {OA} \cdot \overrightarrow {OB}$.

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