👉 In mathematics, a non-continuous function is a function that does not have a continuous extension to all of its domain. In other words, it cannot be made to take on every value in its domain without going outside of it. This means that there are no values that the function takes for which its output is equal to its input. For example, consider the function f(x) = x^2 - 1 over the interval [-5, 5]. This function is non-continuous at