Asymptotes Rational Functions Practice

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

Which is the graph of the rational equation:

• 
• 
• 
• 

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

Which asymptotes are determined by looking at the denominator of a function? 

• vertical

• horizontal

• slant

• none

Find the oblique asymptote.

• y = 3x - 12

• y = x + 5

• y = 3x - 5

• y = 3x - 7

Find the oblique asymptote.
(3x³ - 2x + 1) / (x² + 4x + 2)

• y = 3x - 12

• y = 40x + 25

• y = 3x - 10

• y = 3x - 14

What type(s) of asymptotes does this function have? (Check all that apply.)

• Vertical

• Horizontal

• Oblique

What type(s) of asymptotes does this function have? (Check all that apply.)

• Vertical

• Horizontal

• Oblique

Identify the Oblique Asymptote for this function.

• y = 5x - 7

• y = 5x + 13

• y = 5x + 3

• y = 5x + 7

Find the oblique asymptote.
(x² - 2x - 8) / (x - 2)

• y = x

• y = x - 8

• y = x - 4

• y = x + 4