Rational Functions

Question 1

Find each domain based on the vertical asymptote:

1/x

Answer 1

(-infinity, 0) U (0, infinity)

Question 2

Find each domain based on the vertical asymptote:

x / x-2

Answer 2

(-infinity, 2) U (2, infinity)

Question 3

Find each domain based on the vertical asymptote:

x^2 / x^2 - 4

Answer 3

(-infinity, -2) U (-2, 2) U (2, infinity)

Question 4

Find the vertical asymptote:

1 / x

Answer 4

x = 0

Question 5

Find the vertical asymptote:

x/ x-2

Answer 5

x = 2

Question 6

Find the horizontal asymptote:

x / x-2

Answer 6

y = 1

Question 7

Find the horizontal asymptote:

1/ x

Answer 7

y = 0