Graph Sketch of Ax^3

Cubic function explorer :

Description of the graphs:

When equation is y = Ax^3, there is a point of inflection. The point of inflection is the point where the gradient is zero, but there is no change in direction.
When the equation is y = x^3 +2x, there is no point of inflection.
When the equation is y = ax^3 + bx^2 + cx + d, there will be two turning point, maximum and minimum.

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