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Rational Functions

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