Graphing Rational Functions and Asymptotes

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

What is the end behavior as x approaches negative infinity?

• y approaches negative infinity

• y approaches positive infinity

• y approaches 1

• y approaches 2

Find the horizontal asymptote.

• y = -2

• none

• y = 0

• y = 1/2

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

What is the equation of the horizontal asymptote of the given function?

• y = 2

• x = 1

• There isn't one

• y = 5

What is the horizontal asymptote to this function?

• x=4

• y=0

• none

• y=4

What is the horizontal asymptote of this function?

• y=2

• x=1/2

• y=1

• y=1/2

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

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...

What are the equations of the asymptotes of the given graph

• x=1, x= 2, y =1, y= 2

• x= 2, x= -2, y = 1

• x=2 and  y= -1

• x=1, y =2, y = -2