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

As \(x\to\pm\infty\), the left - hand part of the graph (for \(x\to-\infty\)) and the right - hand part (for \(x\to+\infty\)) of the non - vertical part of the graph approaches \(y = 5\).

Answer:

\(y = 5\)