The function f has the property that lim(x→1⁻) f(x) = [infinity], lim(x→1) f(x) = -[infinity], lim(x→-[infinity]) f(x) = 2, and lim(x→[infinity]) f(x) = 2.

a) f has a vertical asymptote at x = 1
b) f has a horizontal asymptote at y = 2
c) f has a hole at x = 1
d) f has a removable discontinuity at x = 1