# FINDING EQUATIONS OF ASYMPTOTES OF RATIONAL FUNCTIONS WORKSHEET

Find all asymptotes of the following function. (Don't have to graph it).

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9:

Solution

1)

horizontal asymptote is at  y = 1

Vertical asymptote is at x = -5

2)

horizontal asymptote is x-axis or y = 0.

Vertical asymptotes are at x = √2 and x = -√2.

3)

slant asymptote is y = x + 5

Vertical asymptote is at x = 5.

4)

Slant asymptote is at y = (2/3)x + (13/9)

Vertical asymptote is at x = 1

5)

horizontal asymptote is at y = 7/2.

Vertical asymptotes are at x = 3 and x = -3

6)

slant asymptote is at y = 2x - 1.

Vertical asymptote is at x = 2.

7)

horizontal asymptote is x-axis or y = 0.

Vertical asymptote is at x = 3.

8)

horizontal asymptote is x-axis or y = 0.

Vertical asymptotes are at x = -3 and x = 3.

9)

slant asymptote is at y = x - 2.

Vertical asymptote is at x = 0

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