FINDING ASYMPTOTES WORKSHEET

Find the oblique asymptote of the rational functions.

Problem 1 :

f(x) = (x² + 8x – 20)/(x – 1)

Problem 2 :

f(x) = (6x³ – 1)/(-2x² + 18)

Problem 3 :

f(x) = (2x² + x – 5)/(x + 1)

Problem 4 :

f(x) = (2x² - 5x + 3)/(x – 1)

Problem 5 :

f(x) = (2x² - 5x + 5)/(x – 2)

Problem 6 :

f(x) = (x³ - 2x² + 5)/x²

Problem 7 :

f(x) = (x³ - x²- x - 1)/(x – 3) (x + 4)

Problem 8 :

f(x) = x³/(x² – 4)

Answer Key

1) y = x + 9

2) y = -3x

3) y = 2x - 1

4) y = 2x + 3

5) y = 2x + 1

6) y = x + 2

7) y = x – 2

8) Vertical asymptotes at x = -2 and 2

Oblique asymptote is at y = x-4

x-intercept is at x = 0

y-intercept is at x = 0