
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
For real numbers $x$, let 
\[f(x) = \left\{
\begin{array}{cl}
x+4 &\text{ if }x>2, \\
3x+b &\text{ if }x\le 2.
\end{array}
\right.\]
Determine the value of $b$ to make the piecewise function $f(x)$ continuous.

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