APPC – 1.10 Rational Functions and Holes

• There are no holes.

• x = -5

• x = -5, 3

• x = -5, 3, 5

What is the domain of the graph below assuming there are vertical asymptotes at x = -1 and 3.

• All real numbers

• All real numbers except x ≠ 5

• (−∞, −1) ∪ (1, 2) ∪ (2,∞)

• (−∞, −1) ∪ (−1, 3) ∪ (3, 5) ∪ (5, ∞)

Which of the following would be used to FULLY mathematically define the hole at x = 5 of this rational function?