
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 \[f(x) =
\begin{cases}
2x^3 + 4&\text{if } x\le 2, \\
bx + 5 &\text{if } x>2.
\end{cases}
\]Find \( b \) if the graph of \( y=f(x) \) is continuous.

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