FINDING EQUATION OF HORIZONTAL ASYMPTOTES WORKSHEET

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

Problem 1 :

y = 2/(x – 6)

Solution

Problem 2 :

y = (x + 2)/(x – 4)

Solution

Problem 3 :

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

Solution

Problem 4 :

y = (2x2 + 3)/(x2 – 6)

Solution

Problem 5 :

y = (3x - 12)/(x2 – 2)

Solution

Problem 6 :

y = (3x– 4x + 2)/(2x3 + 3)

Solution

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.

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