
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 $f(x)=\frac{-x^{2}}{x+{1}}$ where $x < -{1}$, determine the correct statement regarding its maximum or minimum value.

A) $f(x)$ has a minimum value of $4$
B) $f(x)$ has a minimum value of $-4$
C) $f(x)$ has a maximum value of $4$
D) $f(x)$ has a maximum value of $-4$

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