Rational Functions Removable Discontinuities
Authored by Barbara White
Mathematics
9th - 12th Grade
CCSS covered
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5 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 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
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
3 mins • 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.
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
3 mins • 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
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Define the word asymptote.
Where a line that crosses the y axis.
A value that you get closer to, but never quite reach.
Where a line that crosses the x axis.
End behavior that goes to infinity on either side
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
o(x)=x²-81 / x+9
At each of the following values of x, select whether o has a zero, a vertical asymptote, or a removable discontinuity.
x=9 and x=-9 is a zero.
x=9 is a zero and x=9 is a removable discontinuity.
x=9 is a removable discontinuity and x=-9 is a zero.
x=9 is a zero and x=-9 is a removable discontinuity.
Tags
CCSS.HSF-IF.C.7D
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