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