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Rational Functions

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