Find vertical and horizontal asymptotes

Question 1

What are the vertical asymptotes of f(x) = (5x² + 1)/(2x² − 8)?

• A. x = 4 and x = −4
• B. y = 5/2
• C. x = 2 and x = −2
• D. x = 2

Question 2

f(x) = (−5x − 7)/(x + 4). Find the horizontal asymptote y = ?

Answer 

Question 3

What are the vertical asymptotes of f(x) = (5x² + 1)/(2x² − 18)?

• A. y = 5/2
• B. x = 3 and x = −3
• C. There are none
• D. x = 9 and x = −9

Question 4

f(x) = (−4x − 1)/(x + 6). Find the vertical asymptote x = ?

Answer 

Question 5

What are the vertical asymptotes of f(x) = (3x² + 1)/(x² − 25)?

• A. x = 5
• B. y = 3
• C. x = 5 and x = −5
• D. x = 25 and x = −25

Question 6

f(x) = (−x − 8)/(x + 3). Find the vertical asymptote x = ?

Answer 

Question 7

What are the vertical asymptotes of f(x) = (2x² + 1)/(3x² − 12)?

• A. x = 2
• B. y = 2/3
• C. x = 2 and x = −2
• D. There are none

Question 8

f(x) = (6x − 8)/(x + 2). Find the vertical asymptote x = ?

Answer 

Question 9

What are the vertical asymptotes of f(x) = (5x² + 1)/(4x² − 16)?

• A. x = 4 and x = −4
• B. There are none
• C. x = 2 and x = −2
• D. y = 5/4

Question 10

f(x) = (5x + 9)/(x − 5). Find the vertical asymptote x = ?

Answer 

Question 11

What are the vertical asymptotes of f(x) = (5x² + 1)/(3x² − 75)?

• A. x = 5 and x = −5
• B. y = 5/3
• C. x = 25 and x = −25
• D. x = 5

Question 12

f(x) = (−3x − 1)/(x + 5). Find the vertical asymptote x = ?

Answer 

Question 13

What are the vertical asymptotes of f(x) = (3x² + 1)/(x² − 9)?

• A. x = 3 and x = −3
• B. There are none
• C. x = 3
• D. x = 9 and x = −9

Question 14

f(x) = (x − 4)/(x − 2). Find the horizontal asymptote y = ?

Answer 

Question 15

What are the vertical asymptotes of f(x) = (4x² + 1)/(4x² − 100)?

• A. There are none
• B. x = 25 and x = −25
• C. x = 5
• D. x = 5 and x = −5

Question 16

f(x) = (2x − 7)/(x − 4). Find the horizontal asymptote y = ?

Answer