What Is f(x) = x³ Called?

f(x) = x³ is called a cubic function or a power function with exponent 3.

Common Names:

• Cubic function - most common terminology
• Third-degree polynomial - in polynomial classification
• Power function - in the family f(x) = xⁿ
• Odd function - due to symmetry property f(-x) = -f(x)

Characteristics:

• Single term with highest degree 3
• Passes through the origin (0,0)
• Symmetric about the origin (point symmetry)
• Unbounded in both directions
• Has exactly one real root (at x = 0)

Key Takeaways:

• Primary name: cubic function
• Simplest form of third-degree polynomial
• Prototype of odd polynomial functions