Identifying Asymptotes from Graphs

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

• Numerator
• Denominator

Where is the vertical asymptote?

• x=3
• DNE
• x=8
• y=3

What is the definition of an ASYMPTOTE?

• A curved line. 
• A line that only touches the origin. 
• A line that only lives on the first quadrant. 
• A line that a curve approaches, as it heads towards infinity. 

What is the horizontal asymptote to this function?

• x=4
• y=0
• none
• y=4

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

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

• x=3
• x=0
• None
• X=3, x=-3

What are the Vertical Asymptotes of...

• x = 0, -5
• x=0, 5
• x = 2, -7
• x = -2, 7

• y = 0

• y = 0.5

• y = 1

• There is no horizontal asymptote