which type of asymptote, when it occurs, describes the behavior of a graph when x is close to some number…

Brief Explanations:

A vertical asymptote occurs at values of x for which the function is undefined. As x approaches these values, the graph of the function approaches positive or negative infinity, describing the behavior of the graph when x is close to some number. Horizontal asymptotes describe the behavior of the graph as x approaches positive or negative infinity. Oblique asymptotes also describe the behavior as x approaches positive or negative infinity.

Answer:

B. vertical