Rational Functions and Asymptotes

Find the vertical asymptote.
x²-2x-8
__________
3x-2

• y=2/3
• x=3/2
• x= 2/3
• x=1/3

Tags

CCSS.HSF-IF.C.7D

State the vertical asymptote:  f(x)=(x-2)/(x+5).

• x = -2/5
• x = -5/2
• x = -5
• x = 2

Tags

CCSS.HSF-IF.C.7D

What are the x-intercept(s) for the function
f(x) = (4x + 12)/(x - 6)

• (-3,0)
• (6,0)
• (0,-2)
• (4,0)

Tags

CCSS.HSF-IF.C.7D

What is the y-intercept for f(x) = (2x - 18)/(2x + 6)

• (-9,0)
• (-3,0)
• (0,-3)
• (0,1)

Tags

CCSS.HSF-IF.C.7D

Find both asymptotes.
x+2
______
2x-6

• x=-3 and y=1/2
• x=1/2 and y=3
• x=3 and y =-1/2
• x=3 and y=1/2

Tags

CCSS.HSF-IF.C.7D

What is an asymptote?

• Another name for a vertex
• An imaginary line that the graph does not touch
• A portable cushion used for sporting events
• chemical used to clean dry erase boards

Tags

CCSS.HSF-IF.C.7D

What is the vertical asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

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

Tags

CCSS.HSF-IF.C.7D

Which asymptotes are determined by looking at the denominator of a function? 

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D