Finding Vertical and Horizontal Asymptotes of Rational Functions

What is the Horizontal Asymptote?

• None
• y= 0
• y= 1
• y= 5/4

What is the horizontal asymptote to this function?

• x=4
• y=0
• none
• y=4

Find the vertical asymptote(s) (if any) of the graph of the function.
 3x / (x² - 9)

• x=3
• x=0
• None
• X=3, x=-3

What is the hole?

• x= 4
• x= -4
• x= 5
• x= -5

Find the horizontal asymptote.
4x-16
_________
x²-16

• y=2
• y=1
• y=0
• none

The horizontal asymptote equals zero when:

• the exponents in the numerator and denominator are equal
• the exponents in the numerator are less than the denominator
• the exponents in the numerator are greater than the denominator
• the numerator equals zero

Where is the vertical asymptote?

• x=3
• DNE
• x=8
• y=3

Find the vertical asymptotes and holes of y = (x+3) / (x-1)(x+3)

• Holes: None;
  VA: x = 1, -3
• Holes: x = -3;
  VA: x = 1
• Holes: x = -3, 1
  VA: None
• Holes: x = 1
  VA: x = -3