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

Answer:

C. vertical

Brief Explanation:

A vertical asymptote occurs when the function approaches infinity or negative - infinity as x approaches a particular number. Horizontal asymptotes describe the behavior as x approaches positive or negative infinity. Oblique asymptotes also describe long - term behavior as x approaches positive or negative infinity. So when x is close to some number, it's the vertical asymptote that describes the graph's behavior.