Graphing Rational Functions with Holes

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

Find the vertical asymptote(s) (if any) of the graph of the function.

• None
• x=2
• x=-2
• x=0

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

• Vertical Asymptote
• Discontinuity
• Bob, bob, bob
• Infinite

Which of the following best describes the continuity at x = 5?

• Continuous
• Removable Point Discontinuity
• Non-removable Point

Where do Vertical Asymptotes come from in a Rational Functions? Do you set the factors of the numerator or denominator = 0?

• Numerator
• Denominator

Find the vertical asymptote.
f(x) = (x²-2x-8)/(3x-2)

• y=2/3
• x=3/2
• x= 2/3
• x=1/3

State the vertical asymptote:  
(x-2) 
______
(x+5).

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

What is the vertical asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

What is the hole?

• x= 4
• x= -4
• x= 5
• x= -5

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is something left in the denominator
• the value of f(0)
• a factor in the denominator cancels with a factor in the numerator