Respuesta :

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example [tex]y=\frac{1}{x}[/tex]:

  • As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote
  • As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.

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