Rational Functions and Asymptotes

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

What is the domain and range?

• D: x ≠ -3
  R: y≠ 1

• D: x ≠ 1
  R: y≠ -3

• D: x ≠ 3
  R: y≠ 1

• D: x ≠ -1
  R: y≠ 3

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

A vertical asymptote is found by setting the _________= to zero and solving for x  (a)  

• Numerator

• Denominator

• Right side 

• Left side

What is the equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

What is the equation of the vertical asymptote?

• x = 0

• x = 4

• x = -1, x = 4

• x = -1

When finding the Horizontal asymptotes of a function, you should be thinking...

• Set Bottom = to Zero

• Top = 0

• f(0)

• Look at the Degree of the top and bottom...

• y = 3

• No horizontal asymptote

• y = 0

• y = 2

What are the coordinates of the hole, if one exists.

• (-1, -2)

• (-1, ½)

• (-1, -½)

• there isn't one