Does cubic function have vertex

Answer 1

YES!!!!

However, y = x^(3) does not have a vertex , but an horizontal point at the origin.

However, y = ax^(3) + bx^(2) + dx + c will have vertices , and they are found by differemntiating, and equating to zero.

Answer 2

Cubic functions usually have 2 vertices or none at all. It is not possible for a cubic function to have only one vertex because the end result of both "tails" of a cubic function must tend towards positive infinity and negative infinity (in other words, they are in opposing directions). Having only one vertex would result in the tails tending towards either positive infinity or negative infinity and therfore being in the same direction. For this reason, cubic functions cannot be written in vertex form.