
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) = lg[(a^2 - 1)x^2 + (a - 1)x + 1], let p be the proposition "the domain of f(x) is R" and q be the proposition "the range of f(x) is R".
(I) If proposition p is true, find the range of values for the real number a.
(II) If p ∨ q is true and p ∧ q is false, find the range of values for the real number a.

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