Answer
Vertical asymptote: $x = 3$
Graph holes = none
Work Step by Step
Vertical asymptotes in rational functions are always given by the denominator's zeros. Therefore, for this exercise, to identify the vertical asymptote, one equals the denominator to zero:
$$x -3 = 0$$
And solve for $x$:
$$x = 0 + 3$$
$$x = 3$$
The "holes" in graphs, however, occur when a rational function behaves as a polynomial because the "numerator" can be divided into the "denominator" without a remainder. That is not the case in this exercise - therefore, there are no "holes".
