Asymptote is basically a line that the graph approaches but NEVER cuts/crosses.
<em><u>Remember, x = a where a is a constant is an equation of a vertical line and x = b, where b is a constant, is the equation of a horizontal line.</u></em>
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Looking at the graph, we can see that the curve doesn't cross an imaginary line at x = 0, this is a vertical asymptote.
Also, we can see that the curve doesn't cross an imaginary line at y = -2, this is a horizontal asymptote.
Looking at the answer choices, the choice C is right.
