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Rational Functions

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  • Find the Horizontal Asymptote of this function...
    There is none
    y = -1/4
    x = -1/4
    y = 1/4
  • Where is the vertical asymptote of this function?
    x = 4, -1
    x = 1, -1
    x = 1
    x = -1
  • Where is the y-intercept of the following graph?
    There's a hole there
    At the origin
    There's an asymptote there
    On the beach in Tahiti sipping a margarita
  • When the numerator's degree is bigger, the Horizontal Asymptote is...
    Infinity
    x = 0
    There is none
    y = 0
  • Setting the denominator equal to zero and solving will help you find...
    Holes and Vertical Asymptotes
    Holes
    Horizontal Asymptotes
    Vertical Asymptotes
  • Where are the x-intercepts in the following graph...
    x = -2/3
    x = -2
    x = 2
    x = 4
  • What is the Horizontal Asymptote of the function
    y = -1/3
    There is none
    x = 0
    y = 0
  • What are x = -3 and x = 4
    The holes
    The x-intercepts
    My favorite numbers
    The vertical asymptotes
  • Where is/are the x-intercept(s) of this function?
    x = 4
    y = 8
    x = -1
    x = -1, 4
  • Horizontal Asymptotes are always written in the form....
    Take the L.
    x = #
    y = #
    Horizontal whaa?
  • Where is the y-intercept of this function?
    y = 8
    x = -8
    y = -8
    x = 8
  • Where is the y-intercept in the following function?
    There's a hole there
    Witness protection
    0
    y = 1/4
  • Vertical Asymptotes are always written in the form...
    Chuck Norris
    y = mx + b
    y = #
    x = #
  • What are the x-intercepts of the following function?
    There are none
    x = 0, 4, -4
    x = 0, 16
    x = 4, -4
  • Where are the holes in the following function?
    At the origin
    x = 4, -4
    There are none
    Swiss Cheese
  • If the denominator's degree is bigger than the numerator's degree, Horizontal Asymptote is...
    There is none
    y = 1
    x = 0
    y = 0
  • Holes occur when the value of a rational function is...
    x/0
    1/0
    0
    0/0
  • Find the holes (if any) in the following function...
    x = 2, -1
    x = 4
    There are none
    x = -2, 1
  • Excluded values resulting from factors that can NOT be canceled will cause...
    Horizontal Asymptotes
    Vertical Asymptotes
    Holes
    Tsunamis in 3rd World countries
  • Evaluating a rational function at zero is the best way to determine where...
    the y-intercept is
    the x-intercepts are
    to go for fresh produce
    the holes are
  • The horizontal asymptote will be equal to the ratio of its leading coefficients when
    when the degrees are the same
    the degree on the top is bigger
    the degree on the bottom is bigger
    98 Degrees was a great band
  • Setting the numerator equal to zero and solving will help you find...
    Y-intercepts
    Purpose in life
    X-Intercepts
    Excluded Values
  • Describe the domain of the following function...
    All reals except x = -1, 5
    All reals except x = -3, 2
    All reals except x = -2, 3
    All reals except x = -5, 1
  • Find the Horizontal Asymptote
    x = 0 
    y = 0
    x = -2
    y = -2
  • What is the domain of this function?
    All reals except x = -4, 1
    All reals except x = 1, -1
    x = 1, -1
    All real numbers