
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 $f(x) = x^2 + (a+2)x + b$ satisfies $f(-1) = -2$,

(1) If the equation $f(x) = 2x$ has a unique solution, find the values of the real numbers $a$ and $b$;

(2) If the function $f(x)$ is not monotonic in the interval $[-2, 2]$, find the range of values for the real number $a$.

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