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Rational Functions

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