Graphing Rational Functions

What is the Vertical Asymptote?

• x= -5

• x= 5

• x= 6

• x= -6

What is the Y-Intercept? 

• (0, 5)

• (0, -6)

• (0, 1)

• (0, -5/6)

Where does this graph have a hole?  factor first

• x= 4

• x= -4

• x= 5

• x= -5

What is the Horizontal Asymptote?

• None

• y= 0

• y= 1

• y= 5/4

What is/are the Vertical Asymptote(s)?

• x= -4

• x= -4,5

• x= -5,5

• x= 4

• A

• B

• C

• D

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

What is the domain and range?

• Domain: A.R.N. except x= -3

  Range: A.R.N. except y= 1

• Domain: A.R.N. except x= 3

  Range: A.R.N. except y= -1

• Domain: A.R.N. except x= 1

  Range: A.R.N. except y= -3

• Domain: A.R.N. except x= -3

  Range: A.R.N. except y= -1

• Domain: A.R.N. except x= -1

  Range: A.R.N. except y= 3

The horizontal asymptote equals zero when:

• the degree in the numerator and denominator are equal

• the degree in the denominator are greater than the numerator

• the degree in the numerator is greater than the denominator

• the degree in the denominator is less than the numerator

Describe the vertical asymptote and hole for the graph of the equation shown.

• VA on x = -4; hole when x = 2

• VA on x = -4 and x = 2

• VA on x = -5; hole when x = -4

• VA on x = 4; hole when x = -2