The graph of the function has an S-curve shape in it moves in an upward direction because the leading coefficient is positive.
The graph of a cubic polynomial function.
In mathematics, the cubic polynomial function is represented in 3rd degree and the function of a cubic polynomial can be expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.
The graph of a cubic function is a S-shaped curve. It has two points of inflection, where the curvature changes direction.
The leading coefficient (a) determines the direction of the arms of the curve. If it is positive then the direction of the curve will face an upward direction and if it is negative, the curve will face a downward direction.
From the given function, we have:
f(x) = x³ + 6x² + 11x + 6
The graph has an S-curve shape in it moves in an upward direction because the leading coefficient is positive.