Features of Rational Graphs

Identify Vertical and Horizontal Asymptotes based on the graph

• V.A. --> x = -1

  H.A. --> y = -1

• V.A. --> x = -1

  H.A. --> y = -2

• V.A. --> y = -1

  H.A. --> x = 2

• V.A. --> x = -1

  H.A. --> y = 2

Tags

CCSS.HSF-IF.C.7D

• No holes

• Hole at (2, 0) and (-3, 0)

• Hole at x = - 2

• Hole at (-2,0)

Tags

CCSS.HSF-IF.C.7D

• 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)

Tags

CCSS.HSF-IF.C.7D

• (0, 2)

• (-2, 0)

• There are two:  y = +/- 2

• (0, -2)

Tags

CCSS.HSF-IF.C.7D

• y = 0

• x = 2

• y = - 2

• x = 0

Tags

CCSS.HSF-IF.C.7D

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

• vertical
• horizontal
• both
• none

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x=-3, y=1
• x=3, y =1
• x=-3, y =-1
• x=3 y=-1

Tags

CCSS.HSF-IF.C.7D