(Step-by-Step) Answer each one as true or false: The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote. The x-axis


Question: Answer each one as true or false:

  1. The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote.
  2. The x-axis is a horizontal asymptote for the graph of f(x) = \[\frac{4x-1}{x+3}\]
  3. When writing the partial fraction decomposition of the expression
    \[\frac{{{x}^{3}}+x-2}{{{x}^{2}}-5x+14}\] the first step is to factor the denominator.
  4. For the rational expression \[\frac{x}{(x+5){{(x-5)}^{2}}}\] the partial fraction decomposition is of the form \[\frac{A}{(x+5)}+\frac{B}{{{(x-5)}^{2}}}\]

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