Graphing 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

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

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

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

• (-3,0)
• (6,0)
• (0,-2)
• (4,0)

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

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

• vertical
• horizontal
• slant
• none

Which asymptotes are determined by looking at the coefficients of the highest power in a function? 

• vertical
• horizontal
• slant
• none

What are the asymptotes?

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

What is/are the x-intercepts of this graph?

• (-2,0) and (2,0)
• (-2,0)
• (3,0)
• (2,0) and (3,0

What is the horizontal asymptote?

• y=0
• y=1
• y=-1/9
• This graph does not have a horizontal asymptote.

Name any holes of the function.

• x=0
• none
• x=1