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

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 given graph

As \(x\to\pm\infty\), the graph of the function approaches the \(x -\)axis. The equation of the \(x -\)axis is \(y = 0\).

Answer:

\(y = 0\)