Continuous function

A continuous function is a type of mathematical function that is intuitively understood to "have no breaks, jumps, or holes" in its graph. More formally, a function \( f \) defined on an interval is continuous at a point \( c \) if the following three conditions are satisfied: 1. **Definition of the function at the point**: The function \( f \) must be defined at \( c \) (i.e., \( f(c) \) exists).