A function f(x) is defined for all real numbers except at x = 2, where it has a vertical asymptote. Which of the following best describes the continuity of f(x) at x = 2?

Core Concept

The function has a vertical asymptote at x = 2, which means that the graph approaches positive or negative infinity as x approaches 2 from either side. This indicates a discontinuity at x = 2. The correct answer is B) The function is discontinuous at x = 2. Options A, C, and D are incorrect because the function does not have a limit at x = 2 and is therefore not continuous.