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anonymous
 one year ago
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anonymous
 one year ago
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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1for\(\color{green}{\rm Horizontal ~asy.}\) focus on highest degrees ~if the highest degree of the numerator is greater than the denominator then `No horizontal asy.` \[\color{reD}{\rm N}>\color{blue}{\rm D}\] example \[\large\rm \frac{ 7x^\color{ReD}{3} +1}{ 4x^\color{blue}{2}+3 }\] ~if the highest degree of the denominator is greater than the highest degree of the numerator then `y=0` would be horizontal asy. \[\rm \color{reD}{N}<\color{blue}{\rm D}\] example:\[\large\rm \frac{ 7x^\color{red}{2}+1 }{ 4x^\color{blue}{3}+3 }\] ~if both degrees are the same then divide the leading coefficient of the numerator by the leading coefficient of the denominator \[\rm \color{red}{N}=\color{blue}{D}\] \[\large\rm \frac{ 8x^\color{reD}{3}+1 }{ 4x^\color{blue}{3}+3 }\] \[\rm \frac{ 8x^3 }{ 4x^3 } =2\] horizontal asy. =2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1looks long but just read two lines :D

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1Slant or oblique asy. if the highest degree of the denominator one lessthan the numerator then you can find slant asy. use the synthetic division y= quotient (slant asy.)
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