
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) = e^x^ + $\frac{x^{2}}{m^{2}}$ - x (m ∈ R, m ≠ 0).
(1) Find the monotonic intervals and the extreme values of the function f(x);
(2) For any a ∈ [-1, 1], b ∈ [-1, 1], there is |f(a) - f(b)| ≤ e, find the range of the real number m.

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