👉 In mathematics, a non-continuous function is one that cannot be made continuous by restricting its domain to an open interval. In other words, it cannot be extended to a continuous function on the entire real line. A continuous function is one that preserves properties such as continuity and differentiability. For example, consider the function f(x) = x^2 in the real numbers. This function is continuous at every point except for x = 0, where the derivative is undefined. However, it cannot
