
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
Let \[f(x) = \left\{
\begin{array}{cl}
x^2 - 3x + 2 & \text{ if } x > 3, \\
-3x + 5 &\text{ if } -2 \le x \le 3, \\
9 &\text{ if } x < -2.
\end{array}
\right.\] Find $f(-3) + f(0) + f(4)$.

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