Rational functions and asymptotes

Question 1

Find the horizontal asymptote of f(x) = (6x + 4)/(x − 6). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 2

Find the vertical asymptote of f(x) = (3x − 5)/(2x + 2). Give the x-value.

Answer 

Question 3

Find the vertical asymptote of f(x) = (2x − 3)/(x + 4). Give the x-value.

Answer 

Question 4

Find the vertical asymptote of f(x) = (x)/(2x + 8). Give the x-value.

Answer 

Question 5

Find the vertical asymptote of f(x) = (3x + 5)/(3x + 12). Give the x-value.

Answer 

Question 6

Find the horizontal asymptote of f(x) = (x + 2)/(x + 1). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 7

Find the horizontal asymptote of f(x) = (4x + 1)/(3x + 9). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 8

Find the vertical asymptote of f(x) = (5x − 2)/(x + 5). Give the x-value.

Answer 

Question 9

Find the vertical asymptote of f(x) = (x + 1)/(3x − 9). Give the x-value.

Answer 

Question 10

Find the horizontal asymptote of f(x) = (5x − 4)/(3x + 18). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 11

Find the horizontal asymptote of f(x) = (6x − 5)/(3x + 9). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 12

Find the horizontal asymptote of f(x) = (5x + 3)/(2x − 12). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 13

Find the vertical asymptote of f(x) = (5x − 4)/(x + 2). Give the x-value.

Answer 

Question 14

Find the horizontal asymptote of f(x) = (3x + 2)/(3x − 6). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 15

Find the horizontal asymptote of f(x) = (x − 5)/(3x + 12). Give the y-value (fractions allowed).

Answer (as a fraction)

Question 16

Find the vertical asymptote of f(x) = (4x)/(2x + 10). Give the x-value.

Answer