
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) = $\frac{a(x^2 - x - 1)}{e^x}$ (x ∈ R), where a is a positive number.

1. Find the monotonic intervals of the function f(x).
2. If for any x₁, x₂ ∈ [0, 4], |f(x₁) - f(x₂)| < 1 holds, find the range of values for the real number a.

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