Horizontal and Vertical Asymptotes of Graphs

What is the horizontal asymptote of the function given?

• y = 1

• x = 1

• x = 2

• y = 2

What is the domain of the function?

What is the range of the function?

• The degree of the numerator is greater than the degree of the denominator. "Top-heavy"

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is less than the degree of the denominator. "Bottom-heavy"

• Rational functions can never have horizontal asymptotes at y=0.

Does this graph have any intercepts?

• yes

• no

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

How many vertical asymptotes does the function have?

• None

• 1

• 2

• 3

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 2

• x= -2