Question

How do you describe the behavior of cubic function?

Answer 1

Hint: There is no any direct method which you learn and can solve cubic roots, the thing is it's only the guess system which works over here, you need to guess any number which satisfies the given equation then simply make that number as a factor and solve further. Example of cubic equation:
\[y = {x^3} - 1\]

Complete step-by-step answer:
Cubic factors need to be determined by first and second derivative for the coordinate to be a maxima and minima point and accordingly the nature of that point needs to be determined, the curve makes a turn as per the coordinate behavior of maxima and minima.
For plotting the graph you need coordinates which can be obtained after putting different values of one variable to get the value of another variable in which the equation is given, and after finding its nature you can draw the curve.
For any cubic expression a graph obtained can look like:

The points marked on the graph can be found for their maxima and minima function once you get the cubic function and then use the first and second derivative.

Note: Cubic function is the equation in which the maximum degree of the variable is three. Once you factorize the cubic equation you will get to know that cubic equations have three roots in it, it may be real or complex it depends upon the question you are provided with. Cubic equation roots can be obtained by guessing only.