A statement that can be proven is called a what?

• A. End Behavior
• B. Rational
• C. Irrational
• D. Theorem

Answer: (D)

The main concept here is proof and how we classify mathematical statements. A statement that can be proven is called a theorem. Theorems are established through a rigorous, logical argument built from accepted starting points like axioms and previously proven results. Once something is proven, it’s universally accepted as true within the system.

End behavior is about how a function behaves as its input grows large or tends to a limit; it’s a description of behavior, not a verdict about provability. Rational and irrational describe types of numbers—whether a number can be written as a ratio of integers or not—again not about whether a statement can be proven. So the term that best fits a statement that can be proven is theorem.