
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 ellipse C: $$\frac {x^{2}}{a^{2}} + \frac {y^{2}}{b^{2}} = 1$$ ($a > b > 0$) has an eccentricity of $$\frac { \sqrt {2}}{2}$$ and passes through point P(2, 2).  
(1) Find the standard equation of ellipse C;  
(2) A line l passing through M(-1, 0) intersects ellipse C at points A and B, and the left and right foci of ellipse C are F<sub>1</sub> and F<sub>2</sub>, respectively. The areas of triangles △F<sub>1</sub>AF<sub>2</sub> and △F<sub>1</sub>BF<sub>2</sub> are S<sub>1</sub> and S<sub>2</sub>, respectively. Determine the range of values for |S<sub>1</sub> - S<sub>2</sub>|.

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