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Mathematics

9th -

12thgrade

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Rational Function Points of Discontinuity

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  • 1. Multiple Choice
    3 minutes
    1 pt
    h(x)=x²+4x-32 / x²-8x+16
    At each of the following values of x, select whether h has a zero, a vertical asymptote, or a removable discontinuity.
    x=-8 is a zero and x=4 is a vertical asymptote
    x=-8 is a zero and x=4 is a removable discontinuity
    x=-8 is a zero and x=4 is a zero
    x=8 is a zero and x=-4 is a vertical asymptote
  • 2. Multiple Choice
    3 minutes
    1 pt
    g(x)=x²-2x-24 / x²+10x+24 
    At each of the following values of x, select whether g has a zero, a vertical asymptote, or a removable discontinuity. 
    x=6 is a vertical, x=4 is a removal discontinuity, and x=-6 is a zero.
    x=-6 is a vertical asymptote, x=-4 is a removal discontinuity, and x=6 is a zero.
    x=-6 and x=6 is a zero and  x=4 is a vertical asymptote.
    x=-6 and x=4 is a zero and x=6 is a vertical asymptote.
  • 3. Multiple Choice
    3 minutes
    1 pt
    p(x)=x²-3x-40 / x²+16x+64
    At each of the following values of x, select whether p has a zero, vertical asymptote, or a removable discontinuity.
    x=-8 and 8 is a vertical asymptote and x=-5 is a zero.
    x=-5 and x=-8 is a zero and x=8 is a vertical asymptote.
    x=-8 is a vertical asymptote and x=-5 and x=8 is a zero.
    None of the above
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