Based on the data, which of the following functions is not continuous at x = 1?

Core Concept

Based on the data, the function f(x) = |x - 1|/(x - 1) is not continuous at x = 1 because it is undefined at this point. The other functions are continuous at x = 1. Option A is a removable discontinuity, and the limit of the function approaches 1. Option C has a limit of 1 and is continuous. Option D is continuous and defined at x = 1.