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Identifying Holes Versus Asymptotes
Worksheet
Grade Level
Algebra II
ALG2.135 Identifying Holes Versus Asymptotes
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For f(x) = [(x + 1)
2
(x - 5)]/[(x + 1) (x - 5)
2
(x - 2)], what is the correct conclusion after simplifying but keeping original domain restrictions?
A
Simplified expression: [x + 1]/[x
2
- 7x + 10]; Holes: x = -1, x = 2, and x = 5; vertical asymptotes: none
B
Simplified expression: [x + 1]/[x
2
- 7x + 10]; Holes: x = -1; vertical asymptotes: x = 2 and x = 5
C
Simplified expression: [x + 1]/[x
2
- 7x + 10]; Holes: none; vertical asymptotes: x = -1, x = 2, and x = 5
D
Simplified expression: [x + 1]/[x
2
- 7x + 10]; Holes: x = 2 and x = 5; vertical asymptotes: x = -1
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