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Is $y = x^{3} - 3 x - 20$ $y = x^3 − 3x − 20$ a quadratic function?

1 Answer

Aug 5, 2015

$y = x^{3} - 3 x - 20$ $y=x^3 -3x-20$ is a cubic function
It is not a quadratic

Explanation:

A quadratic function must have the form:
$XXXX$ $color(white)("XXXX")$ $y = a x^{2} + b x + c$ $y=ax^2+bx+c$
Note that the highest degree of the variable $x$ $x$ is $2$ $2$

A function of the form:
$XXXX$ $color(white)("XXXX")$ $y = a x^{3} + b x^{2} + c x + d$ $y=ax^3+bx^2+cx+d$
$XXXX$ $color(white)("XXXX")$ (with the highest degree of $x$ $x$ being $3$ $3$ )
is called a "cubic function"

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