End Behavior of Rational Functions Limit Notation

Find the vertical asymptote(s), hole(s) and horizontal asymptote.

• V.A.: x = -1
  Holes: x = 2
  H.A.: None

• V.A.: x = 2
  Holes: x = 1
  H.A.: None

• V.A.: x = -1
  Holes: x = 2
  H.A.: y = 1/4

• V.A.: x = 2, -1
  Holes: x = None
  H.A.: None

Find the horizontal asymptote of f(x)

• None

• y=6

• y=1/3

• y=3

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

• 
• 
• 
• 

• Vertical Asymptote. at x = -3 and x = 1

• Hole at (1, 0)

• Horizontal Asymptote at y = 2

• x-intercepts at (3,0) and (1, 0)

• No Vertical Asymptote

• No Holes

• No x-intercept

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

Choose the correct graph that matches with the equation.

• A

• B

• C

• D

• -25/3

• 4

• -6

• 25/3

Solve.

• A

• B

• C

• D

Michael, David, and William are studying rational functions. They are trying to understand the end behavior of these functions. How is the end behavior of a rational function determined?

• Michael suggests that the end behavior of a rational function is determined by the sum of the degrees of the numerator and denominator.

• David thinks that the end behavior of a rational function is determined by the constant term of the numerator and denominator.

• William believes that the end behavior of a rational function is determined by the leading coefficient of the numerator and denominator.

• They read in a book that the end behavior of a rational function is determined by the degrees of the numerator and denominator.

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PC.F.4.5