There will be either a hole or a vertical asymptote at the x-value that makes the denominator zero.
Holes: x=3 Vertical Asymptotes: The graph does not have any vertical asymptotes.
Practice makes perfect
Consider the given function.
y=x-3/x-3Recall that division by zero is not defined. Therefore, the rational function is undefined where x-3=0.
x-3=0 ⇔ x=3
The function is not defined when x=3. This means we have either a hole or a vertical asymptote. Let's now simplify the function.
