You've provided a cubic function:

$f(x) = ax^3 + bx^2 + cx + d$

This represents a general cubic polynomial where:

• $a$, $b$, $c$, and $d$ are constants.
• $a \neq 0$ (if $a = 0$, the equation becomes quadratic, not cubic).

Is there a specific question you'd like to ask about this function? For instance:

• Do you need to find the derivative or integral?
• Are you solving for the roots or critical points?
• Do you want to explore the graph or behavior of this function?

Feel free to clarify any specific details!

Related questions to explore:

1. How do you find the derivative of $f(x) = ax^3 + bx^2 + cx + d$?
2. How can you determine the roots of a cubic function?
3. What is the discriminant for a cubic equation and how does it relate to the nature of the roots?
4. How do you graph a cubic function?
5. How do you calculate the inflection point for a cubic function?

Tip: If $a = 0$, the equation turns into a quadratic equation, and you can apply the quadratic formula to find the roots.