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Graph The Asymptote

t.      True or False: A vertical asymptote occurs when the function approaches a finite limit as the input goes to infinity.

      True or False: The presence of a vertical asymptote guarantees that the limit of the function as the input approaches that point is infinite.

    True or False: A horizontal asymptote can exist even if the function crosses the horizontal line at some point.

.    True or False: A rational function can have both a vertical asymptote and a hole at the same x-value.

      True or False: Slant asymptotes only occur in rational functions where the degree of the numerator is one greater than the degree of the denominator.

      True or False: The reciprocal of a non-zero number is always defined, and therefore, a rational function is always continuous.

  1. Asymptotes can be vertical, horizontal, or slant (oblique).


  1. True or False: A rational function may have at most one vertical asymptote.


.    True or False: If a rational function has a horizontal asymptote at y = 0, the function approaches zero as the input approaches infinity.

921.      True or False: A hole in the graph of a rational function corresponds to a point where the function is undefined.