Definitions for cubic function
cu·bic func·tion

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1. cubic functionnoun

   Any function of a polynomial whose greatest exponent is 3.

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1. Cubic function

   In mathematics, a cubic function is a function of the form f ( x ) = a x 3 + b x 2 + c x + d {\displaystyle f(x)=ax^{3}+bx^{2}+cx+d} where the coefficients a, b, c, and d are real 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 a x 3 + b x 2 + c x + d = 0 , {\displaystyle ax^{3}+bx^{2}+cx+d=0,} whose solutions are called roots of the function. A cubic function has either one or three real roots (the existence of at least one real root is true for all odd-degree polynomial functions). The graph of a cubic function always has a single inflection point. It may have two critical points, a local minimum and a local maximum. Otherwise, a cubic function is monotonic. The graph of a cubic function is symmetric with respect to its inflection point; that is, it is invariant under a rotation of a half turn around this point. Up to an affine transformation, there are only three possible graphs for cubic functions. Cubic functions are fundamental for cubic interpolation.

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1. Cubic function

   In mathematics, a cubic function is a function of the form where a is nonzero; or in other words, a function defined by a polynomial of degree three. The derivative of a cubic function is a quadratic function. The integral of a cubic function is a quartic function. Setting ƒ(x) = 0 produces a cubic equation of the form: Usually, the coefficients a, b,c, d are real numbers. However, most of the theory is also valid if they belong to any field of characteristic other than 2 or 3. To solve a cubic equation is to find the roots of a cubic function. There are various ways to solve a cubic equation. The roots of a cubic, like those of a quadratic or quartic function but no higher degree function, can always be found algebraically. The roots can also be found trigonometrically. Alternatively, one can find a numerical approximation of the roots in the field of the real or complex numbers. This may be obtained by any root-finding algorithm, like Newton's method. Solving cubic equations is a necessary part of solving the general quartic equation, since solving the latter requires solving its resolvent cubic equation.

How to pronounce cubic function?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Karen

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   Neerja

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How to say cubic function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of cubic function in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of cubic function in Pythagorean Numerology is: 5

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Cubic_Function
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Cubic_Function
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=cubic function