A function f(x) has a removable discontinuity at x = 3. Which of the following statements best describes the behavior of the function as x approaches 3?

Core Concept

A removable discontinuity at x = 3 means that the function has a hole at x = 3, which implies that the graph approaches the same value from both the left and the right. This indicates a removable discontinuity. The correct answer is A) The function has a hole at x = 3. Options B, C, and D are incorrect because a vertical asymptote would indicate an essential discontinuity, and a jump discontinuity would indicate a difference in the function values from the left and right sides.