Answer
There are vertical asymptotes at $x = 0$ and $x = 1$.
There are no holes in the graph.
Work Step by Step
Vertical asymptotes occur where the denominator becomes undefined, which means where the denominator equals $0$.
To find vertical asymptotes, set each factor in the denominator equal to $0$:
First factor:
$x = 0$
Second factor:
$x - 1 = 0$
Add $1$ to each side of the equation:
$x = 1$
There are vertical asymptotes at $x = 0$ and $x = 1$.
Holes in the graph occur where the same factor occurs in both the numerator and denominator. In this exercise, there are no factors that are the same in the numerator and denominator; therefore, there are no holes in the graph.
