Graphing Complicated Rational Functions

What is the Horizontal Asymptote?

• y= 6

• y= 2

• y= 1

• y= 0

What are the asymptotes

• x=1, x= 2, y =1, y= 2

• x= 1, x=-1, y = 1

• x=1 y =1

• x=-1, y =1, y =-1

Find the horizontal asymptote:

• y = 0

• y = 1

• None

• y = 3/2

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

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

What are the asymptotes?

• x=-1 y = -3

• x=1 y = -3

• x=-1 y =3

• x=1, y=3

How is this function transformed from the parent function?

• Translated left and up

• Translated right and up

• Translated left and down

• Translated right and down

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1

• D : All real number x ≠ 1
  R: All real number y≠ -3

• D : All real number x ≠ 3
  R: All real number y≠ 1

• D : All real number x ≠ -1
  R: All real number y≠ 3

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

What is the horizontal asymptote?

• y = -4

• y = 1

• x = 1

• y = -6