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

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

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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1if 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?

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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1ok 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)

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

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

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

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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1in 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 \(y=\frac{2}{5}\)

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

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

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

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

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