FINDING EQUATION OF HORIZONTAL ASYMPTOTES WORKSHEET

Find the horizontal asymptote of the graph of each rational function.

Problem 1 :

y = 2/(x – 6)

Problem 2 :

y = (x + 2)/(x – 4)

Problem 3 :

y = (x + 3)/2(x + 4)

Problem 4 :

y = (2x² + 3)/(x² – 6)

Problem 5 :

y = (3x - 12)/(x² – 2)

Problem 6 :

y = (3x³– 4x + 2)/(2x³ + 3)

Answer Key

1) y = 0

2) y = 1

3) y = 1/2

4) y = 2

5) y = 0 which is the x – axis.

6) y = 1.5.