Complex Rational Functions

What is the horizontal asymptote to this function?

• y=4

• y=0

• y=-2

• y=1

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

What is the horizontal asymptote?

• y = -4

• y = 1

• x = 1

• y = -6

What is the horizontal asymptote of this function?

• y=2

• x=1/2

• y=1

• y=1/2

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

Find the horizontal asymptote.

• None

• y = 0

• y = -1/3

• y = -3

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

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...

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none

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