
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
Consider the function $f(x) = \ln(2x+3) + x^2$.
(1) Discuss the monotonicity of $f(x)$;
(2) Find the maximum and minimum values of $f(x)$ in the interval $\left[-1, \frac{e^2-3}{2}\right]$.

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