## SugarRainbow Group Title how to graph general rational functions? like y=2x/x^2-1 one year ago one year ago

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1. UnkleRhaukus Group Title

$y=\frac{2x}{x^2-1}$ $y=\frac{2x}{(x-1)(x+1)}$ the function will be zero at x=0 so there will be asymptotes at $x=\pm1$

2. UnkleRhaukus Group Title

when $$0<< x$$ (x is a large positive number) the numerator will be large and positive, but the denominator much larger and will dominate, and hence the function will be small when $$x<<0$$ (x is large negative number) the numerator will be negative and large, but the denominator will again dominate and hence the function will be small and negative

3. UnkleRhaukus Group Title

so*and