Discussion
Match the curve with the number of its asymptotes parallel to the axes. 1. \( y = 1/x \) 2. \( y = 1/(x^{2}-1) \) 3. \( y = x + 1/x \) P. Two vertical and one horizontal Q. One vertical and one horizontal R. One vertical and none horizontal
Answer: C
The first has \( x = 0 \) and \( y = 0 \). The second vanishes in the denominator at \( x = \pm 1 \) and tends to zero at infinity, so two vertical and one horizontal. The third has \( x = 0 \) vertical but grows like \( x \), so its remaining asymptote is the oblique line \( y = x \) rather than a horizontal one
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