Final answer:
As x approaches zero in the reciprocal function y = 1/x, the value of y approaches infinity, indicating a vertical asymptote at x = 0.
Step-by-step explanation:
For the reciprocal function y = 1/x, as x approaches zero, the value of y increases without bound, which means that the function approaches infinity. This behavior indicates that there is a vertical asymptote at x = 0. As x gets closer to zero from either the positive or the negative side, the values of y become very large in magnitude, with the sign depending on the direction from which x approaches zero (positive infinity for x approaching zero from the positive side, and negative infinity for x approaching zero from the negative side).