Based on the graph of f(x) = 1/x, which of the following is a correct statement about the function?

Core Concept

The graph of f(x) = 1/x shows that the function approaches infinity as x approaches 0 from the right and approaches negative infinity as x approaches 0 from the left. This indicates that the function has an infinite discontinuity at x = 0. Options A and B are incorrect since the function is not continuous at x = 0. Option D is incorrect since the function does not have a jump discontinuity at x = 0.