Question

look at the graph: what is the equation of the horizontal asymptote?

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 graph

Looking at the graph, as \(x\to\pm\infty\), the \(y -\)value of the function approaches \(y=- 6\).

Answer:

\(y = - 6\)