A
B
C
D
E
17. Which of the following most closely resembles the graph of y = x2/(x-1)?
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A
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B
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C
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D
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E
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Solution: The answer is D
Since y is undefined at x = 1, the graph must have a vertical asymptote at x = 1. Furthermore, since the numerator has degree exactly one more than the degree of the denominator, the graph of y has a slant asymptote at y = x + 1. Hence Since the only graph that has both a vertical and a slant asymptote is that of D, then D most closely resembles the graph of y = x2/(x-1).