Which type of function is characterized by one curve and one asymptote?

The logistic function is characterized by its S-shaped curve and typically has one horizontal asymptote. This asymptote represents the limiting value that the function approaches as the input increases or decreases without bound. In contrast to other types of functions listed, like linear and quadratic, which either do not have asymptotes or can have multiple curves, the logistic function effectively models phenomena such as population growth where conditions eventually lead to a saturation point, illustrated by the asymptote. The single curve of the logistic function rises steeply at first, but as it nears its asymptotic limit, the rate of growth slows and the curve flattens out, clearly demonstrating the relationship between the variable and its limiting behavior.