Final answer:
The correct answer is A) Discontinuity. The function f is not defined for x=0, which creates a gap or hole in the graph of the function.
Step-by-step explanation:
The correct answer to the question is A) Discontinuity. A discontinuity occurs when a function is not defined at a certain point or interval. In this case, the function f is not defined for x=0. This means that there is a gap or hole in the graph of the function at x=0.
For example, let's consider the function f(x) = 1/x. The graph of this function has a vertical asymptote at x=0, which means that the values of y approach infinity as x approaches 0. However, the function is not defined at x=0, so there is a discontinuity at that point.