Find vertical and horizontal asymptotes

Question 1

What are the vertical asymptotes of f(x) = (2x² + 1)/(x² − 25)?

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

Question 2

f(x) = (5x − 9)/(x + 4). Find the horizontal asymptote y = ?

Answer 

Question 3

What are the vertical asymptotes of f(x) = (3x² + 1)/(2x² − 72)?

• A. There are none
• B. x = 6
• C. x = 6 and x = −6
• D. x = 36 and x = −36

Question 4

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

Answer 

Question 5

What are the vertical asymptotes of f(x) = (2x² + 1)/(4x² − 64)?

• A. x = 4 and x = −4
• B. x = 16 and x = −16
• C. y = 1/2
• D. There are none

Question 6

f(x) = (x + 5)/(x − 4). Find the vertical asymptote x = ?

Answer 

Question 7

What are the vertical asymptotes of f(x) = (4x² + 1)/(2x² − 18)?

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

Question 8

f(x) = (−2x − 3)/(x + 3). Find the horizontal asymptote y = ?

Answer 

Question 9

What are the vertical asymptotes of f(x) = (5x² + 1)/(4x² − 144)?

• A. x = 6
• B. x = 36 and x = −36
• C. x = 6 and x = −6
• D. There are none

Question 10

f(x) = (3x − 9)/(x + 2). Find the horizontal asymptote y = ?

Answer 

Question 11

What are the vertical asymptotes of f(x) = (x² + 1)/(3x² − 108)?

• A. x = 6 and x = −6
• B. x = 6
• C. There are none
• D. x = 36 and x = −36

Question 12

f(x) = (5x − 2)/(x − 6). Find the horizontal asymptote y = ?

Answer 

Question 13

What are the vertical asymptotes of f(x) = (x² + 1)/(4x² − 64)?

• A. There are none
• B. y = 1/4
• C. x = 16 and x = −16
• D. x = 4 and x = −4

Question 14

f(x) = (2x + 5)/(x + 5). Find the vertical asymptote x = ?

Answer 

Question 15

What are the vertical asymptotes of f(x) = (4x² + 1)/(3x² − 3)?

• A. x = 1 and x = −1
• B. There are none
• C. x = 1
• D. y = 4/3

Question 16

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

Answer