Which statement correctly identifies a horizontal asymptote of a function ?

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Which statement correctly identifies a horizontal asymptote of a function

f

? (a) A horizontal asymptote is a vertical line

x=c

that the graph approaches as

x\to \pm\infty

. (b) A horizontal asymptote is a horizontal line

y=0

that the graph approaches as

x\to \pm\infty

. (c) A horizontal asymptote is a horizontal line

y=c

that the graph approaches as

x\to \pm\infty

. (d) A horizontal asymptote is a horizontal line

y=c

that the graph approaches but can never cross.