
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
Part of the graph of $f(x) = ax^3 + bx^2 + cx + d$ is shown. What is $b$?

[asy]
unitsize(1.5 cm);

real func(real x) {
  return((x + 2)*(x - 1)*(x - 3));
}

draw(graph(func,-2.2,1.2));
draw((-2.5,0)--(1.5,0),Arrows(6));
draw((0,-1)--(0,2.5),Arrows(6));

label("$x$", (1.5,0), E);
label("$f(x)$", (0,2.5), N);

dot("$(-2,0)$", (-2,0), SE, fontsize(10));
dot("$(1,0)$", (1,0), SW, fontsize(10));
dot("$(2,3)$", (2,3), NE, fontsize(10));
[/asy]

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