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Rational Functions

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