Question

Consider the graph of function f.

What equation is the equation of the function's asymptote?

y = 0

y = 1

y = 2

y = 3

Answer 1

As x heads off to negative infinity (towards the left side), the curve slowly approaches the horizontal line y = 1. It will never actually touch or cross this horizontal line. It simply gets closer and closer. Think of it as an electric fence of sorts.

Therefore the horizontal asymptote is y = 1