What are holes in math?

Answer 1

In mathematics, "holes" typically refer to points in a function where it is not defined, despite being defined in a neighborhood around that point. For example, a rational function may have a hole at a certain x-value if both the numerator and denominator share a common factor that causes the function to be undefined at that point. Holes are often illustrated in graphs as open circles, indicating the absence of a value at that specific coordinate. Understanding holes is essential for analyzing the behavior of functions and their continuity.