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Cubic Function

A cubic function is a polynomial function of degree 3 .  It can be written in the form f ( x ) = a x 3 + b x 2 + c x + d , where a , b , c and d are real numbers and a 0 .

It can also be written as f ( x ) = a ( x + b ) 3 + c , where a , b and c are real numbers and a 0 .

Example 1:

Graph the function f ( x ) = 2 ( x + 1 ) 3 3

  

Example 2:

Graph the function f ( x ) = x 3 6 x 2 + 12 x 3