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Identify Removable and Infinite Discontinuities in Rational Functions
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.47 Identify Removable and Infinite Discontinuities in Rational Functions
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f(x) = (-x
4
- 8x
3
+ 63x
2
+ 666x + 1296) / (x
2
- 8x - 9) At x = 9, what kind of discontinuity does f have? (Answer A, B, C, or D.)
A
Infinite discontinuity (a vertical asymptote)
B
Removable discontinuity (a hole)
C
No discontinuity (the function is continuous there)
D
Both a hole and a vertical asymptote
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