Question

what is the horizontal asymptote of this function? (click on the graph to enlarge)

Explanation:

Step1: Recall the definition of horizontal asymptote

A horizontal asymptote is a horizontal line \(y = k\) that the graph of a function approaches as \(x\to\pm\infty\).

Step2: Analyze the given graph

Looking at the graph, as \(x\to\pm\infty\), the \(y -\) values of the function approach \(y = 0\).

Answer:

\(y = 0\)