Question: Answer each one as true or false:

a) The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote.

b) The x-axis is a horizontal asymptote for the graph of f(x) = \[\frac{4x-1}{x+3}\]

c) 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.

d) For the rational expression \[\frac{x}{(x+5){{(x-5)}^{2}}}\] the partial fraction decomposition is of the form \[\frac{A}{(x+5)}+\frac{B}{{{(x-5)}^{2}}}\]