Find the equation(s) of the asymptote(s) for each of the curves below. $y = \frac{1}{x+3}$ \(y = \

Question

Find the equation(s) of the asymptote(s) for each of the curves below. $y = \frac{1}{x+3}$ $y = \frac{1}{(x-2)(x+3)}$ $y = \frac{x^2+3}{x-1}$ $y = \frac{1-x}{2x+1}$ $y = \frac{2x^2+x+1}{x+2}$ $y = \frac{x}{x^2+x-3}$ $y = \frac{x^2-2x+1}{x^2+3}$ $y = \frac{2}{x^2+6}$ $y = \frac{x^2+x-4}{x+3}$

Accepted Answer

(a) $y=0,x=-3$ (b) $y=0,x=2,x=-3$ (c) $y=x+1$, $x=1$ (d) $y=-\frac{1}{2},x=-\frac{1}{2}$ (e) $y=2x-1,x=-2$ (f) $x=-\frac{1}{2}+\frac{\sqrt{13}}{2}$, $x=-\frac{1}{2}-\frac{\sqrt{13}}{2}$ , $y=0$ (g) $y=1$ (h) $y=0$ (i) $y=x-2,x=-3$

Graphing Techniques - Asymptotes and Discontinuities

Graphing Techniques - Asymptotes and Discontinuities

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