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In mathematics, a cubic function is a function of the form f(x)=ax³+bx²+cx+d where the coefficients a, b, c, and d are complex numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function. In particular, the domain and the codomain are the set of the real numbers. Setting f(x) = 0 produces a cubic equation of the form ax³+bx²+cx+d=0, whose solutions are called roots of the function.

Step-by-step explanation:

Properties of the cubic function

One to three roots.

Two or zero extrema.

One inflection point.

Point symmetry about the inflection point.

The range is the set of real numbers.

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