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Algebra II
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Determining Horizontal and Slant Asymptotes
Worksheet
Grade Level
Algebra II
ALG2.136 Determining Horizontal and Slant Asymptotes
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🔴 Hard
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For f(x) = (x
3
+ 4x
2
- 1)/(2x
2
- x + 5), why should you not use a horizontal asymptote?
A
Horizontal asymptote y = 1/2 because the leading coefficients are 1 and 2.
B
No horizontal asymptote; the numerator degree is larger, and the slant asymptote comes from division.
C
Horizontal asymptote y = 0 because the denominator contains a square term.
D
No asymptote of any kind because the denominator is quadratic.
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