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SugarRainbow
Group Title
how to graph general rational functions?
like y=2x/x^21
 one year ago
 one year ago
SugarRainbow Group Title
how to graph general rational functions? like y=2x/x^21
 one year ago
 one year ago

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UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[y=\frac{2x}{x^21}\] \[y=\frac{2x}{(x1)(x+1)}\] the function will be zero at x=0 so there will be asymptotes at \[x=\pm1\]
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
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
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
so*and
 one year ago
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