FINDING EQUATIONS OF ASYMPTOTES OF RATIONAL FUNCTIONS WORKSHEET

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

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Problem 7 :

Problem 8 :

Problem 9:

Answer Key

horizontal asymptote is at y = 1

Vertical asymptote is at x = -5

horizontal asymptote is x-axis or y = 0.

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

slant asymptote is y = x + 5

Vertical asymptote is at x = 5.

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

Vertical asymptote is at x = 1

horizontal asymptote is at y = 7/2.

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

slant asymptote is at y = 2x - 1.

Vertical asymptote is at x = 2.

horizontal asymptote is x-axis or y = 0.

Vertical asymptote is at x = 3.

horizontal asymptote is x-axis or y = 0.

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

slant asymptote is at y = x - 2.

Vertical asymptote is at x = 0