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quarticfunction

quartic function

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There are 15 letters in QUARTICFUNCTION ( A¹C³F⁴I¹N¹O¹Q¹⁰R¹T¹U¹ )

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10 letters out of QUARTICFUNCTION

CUNCTATION FANTOCCINI INFARCTION INFRACTION TRUNCATION URTICATION

9 letters out of QUARTICFUNCTION

CUNCTATOR FURCATION INCAUTION NICTATION NITRATION NUTRITION RUINATION URINATION

8 letters out of QUARTICFUNCTION

5 letters out of QUARTICFUNCTION

4 letters out of QUARTICFUNCTION

3 letters out of QUARTICFUNCTION

ACT AFT AIN AIR AIT ANI ANT ARC ARF ART ATT CAN CAR CAT CON COR COT CRU CUR CUT FAN FAR FAT FIN FIR FIT FON FOR FOU FRO FUN FUR INN ION NAN NIT NOR NOT NUN NUT OAF OAR OAT OCA OFT ORA ORC ORT OUR OUT QAT QUA RAI RAN RAT RIA RIF RIN ROC ROT RUN RUT TAN TAO TAR TAT TAU TIC TIN TIT TON TOR TOT TUI TUN TUT URN UTA

2 letters out of QUARTICFUNCTION

AI AN AR AT FA IF IN IT NA NO NU OF OI ON OR QI TA TI TO UN UT

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Definitions of quartic function in various dictionaries:

QUARTIC FUNCTION - In algebra, a quartic function is a function of the form f ( x ) = a ...

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Quartic function description
In algebra, a quartic function is a function of the form* * * * f * ( * x * ) * = * a * * x * * 4 * * * + * b * * x * * 3 * * * + * c * * x * * 2 * * * + * d * x * + * e * , * * * {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,} * where a is nonzero, * which is defined by a polynomial of degree four, called a quartic polynomial. * Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form * * * * * f * ( * x * ) * = * a * * x * * 4 * * * + * c * * x * * 2 * * * + * e * . * * * {\displaystyle f(x)=ax^{4}+cx^{2}+e.} * A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form * * * * * a * * x * * 4 * * * + * b * * x * * 3 * * * + * c * * x * * 2 * * * + * d * x * + * e * = * 0 * , * * * {\displaystyle ax^{4}+bx^{3}+cx^{2}+dx+e=0,} * where a ≠ 0. * The derivative of a quartic function is a cubic function. * Since a quartic function is defined by a polynomial of even degree, it has the same infinite limit when the argument goes to positive or negative infinity. If a is positive, then the function increases to positive infinity at both ends; and thus the function has a global minimum. Likewise, if a is negative, it decreases to negative infinity and has a global maximum. In both cases it may or may not have another local maximum and another local minimum. * The degree four (quartic case) is the highest degree such that every polynomial equation can be solved by radicals.

Quartic function description

In algebra, a quartic function is a function of the form*
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* {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,}
* where a is nonzero,
* which is defined by a polynomial of degree four, called a quartic polynomial.
* Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form
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* {\displaystyle f(x)=ax^{4}+cx^{2}+e.}
* A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form
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* {\displaystyle ax^{4}+bx^{3}+cx^{2}+dx+e=0,}
* where a ≠ 0.
* The derivative of a quartic function is a cubic function.
* Since a quartic function is defined by a polynomial of even degree, it has the same infinite limit when the argument goes to positive or negative infinity. If a is positive, then the function increases to positive infinity at both ends; and thus the function has a global minimum. Likewise, if a is negative, it decreases to negative infinity and has a global maximum. In both cases it may or may not have another local maximum and another local minimum.
* The degree four (quartic case) is the highest degree such that every polynomial equation can be solved by radicals.

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