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Cubic function - Wikipedia
In mathematics, a cubic function is a function of the form $${\displaystyle f(x)=ax^{3}+bx^{2}+cx+d,}$$ that is, a polynomial function of degree three. In many texts, the coefficients a, b, c, and d are supposed to be real numbers, and the function is considered as a real function that maps real numbers to real … See more
The critical points of a cubic function are its stationary points, that is the points where the slope of the function is zero. Thus the critical … See more
The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions.
Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is … See moreGiven the values of a function and its derivative at two points, there is exactly one cubic function that has the same four values, which is called a cubic Hermite spline See more
For a cubic function of the form $${\displaystyle y=x^{3}+px,}$$ the inflection point is thus the origin. As such a function is an odd function, its graph is symmetric with respect to the inflection point, and invariant under a rotation of a half turn around the … See more
Wikipedia text under CC-BY-SA license Graph y=x^3 | Mathway
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A cubic function may have one, two or three x -intercepts, corresponding to the real roots of the related cubic equation. A cubic function is one in the form f (x) = ax3 + bx2 + cx + d. The basic cubic function, f (x) = x3, is graphed below.
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