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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 horizontal asymptote definition

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

Step2: Analyze the graph's behavior at extreme x

As \( x \to \infty \) and \( x \to -\infty \), the graph approaches the horizontal line \( y = -5 \).

Answer:

\( y = -5 \)