Rational Functions: Asymptotes

timer Asked: Nov 25th, 2016

Question description

For the given rational function f(x) = (3 +7x) / (5-2x):

  • Find the domain of f.
  • Identify any vertical asymptotes of the graph of y = f(x).
  • Identify any holes in the graph.
  • Find the horizontal asymptote, if it exists.
  • Find the slant asymptote, if it exists.
  • Graph the function using a graphing utility and describe the behavior near the asymptotes.

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