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sara1234
Group Title
State the horizontal asymptote of the rational function.
 2 years ago
 2 years ago
sara1234 Group Title
State the horizontal asymptote of the rational function.
 2 years ago
 2 years ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
numerator degree is 1, denominator has degree 2 and since 2 is larger than 1 the horizontal asymptote is \(y=0\)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
for the vertical asymptotes, set the denominator equal to zero and solve for \(x\)
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
i dont get how you got y=o pplz help with horizontal
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
if the degree of the numerator is smaller than the degree of the denominator, you will have a horizontal asymptote at \(y=0\) aka the \(x\) axis do you know what i mean by degree?
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
yeah i know what degree is
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
what if the degree of the numnater is bigger
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
ok then that is all you need to consider think about what would happen if you put in say \(x=10^6\) you would have a million in the numerator but you would have \(10^{12}\) in the denominator, and get a very small number (close to zero)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
if the degree of the numerator is larger, no horizontal asymptote
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
and if the degrees are the same, it is the ratio of the leading coefficients
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
so its allways y=0 when the top is smaller and none when the top is larger
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
yes, always
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
and if they are the same, for example \[\frac{2x^2+3x3}{5x^2+10}\] i would be \(y=\frac{2}{5}\)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
you got that? three cases 1) top is larger: none 2) bottom is larger :\(y=0\) 3) the degrees are equal: \(y=\text{ratio of leading coefficients}\)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
in my example \[\frac{2x^2+3x3}{5x^2+10}\] the degrees are both two the leading coefficient of the numerator is 2 the leading coefficent of the denominator is 5 so horizontal asymptote is \(y=\frac{2}{5}\)
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
State the horizontal asymptote of the rational function. 9x^23x8  4x^25x+3 so this would be y=9/4?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
sure would
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
thanks your the best!! can you fan me so i can message you if i need help plz?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
you have to admit this is rather easy, right? i mean once you know what you are doing
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
yeah i posted this because i am home schooled and i have no one to teach me the concepts
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
that must be tough guess you can always post here. there are lots of on line resources, but here you may get a direct answer
 2 years ago
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