Unit 2 Review

Identify Vertical and Horizontal Asymptotes based on the graph

• V.A. --> x = 0

  H.A. --> y = 1

• V.A. --> x = 1

  H.A. --> y = 0

• V.A. --> y = 1

  H.A. --> x = 0

• V.A. --> x = 0

  H.A. --> none

• No holes

• Hole at (2, 0) and (-3, 0)

• Hole at x = - 2

• Hole at (-2,0)

• hole at (-1/3, 1/3)

• no hole

• hole at (-1/3, 0)

• hole at (-1/3, -2)

• There are none

• There are two: (2, 0) and (-1, 0)

• There are three, x = 0, x = 2, x = -1

• There are two: (0, 2) and (0, -1)

• (0, 2)

• (-2, 0)

• There are two:  y = +/- 2

• (0, -2)

• (0, 1)

• (1, 0)

• -1, and 1

• 1, - 1, and 0

• x  =  - 2

• y  =  - 2

• there are none

• (- 2, 0)

• x  =  2

• x  =  +/- 2

• (2, 0)

• y = 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