Can anyone explain to me how to find horizontal asymptotes? I just don't understand bruh

Question

Jesus928 · Answer

I only have a week to pass my Cal class. Im so cooked

Jesus928 · Answer

Here's an example is it helps

f(x)=          3(x−10)
              3(x+9)(x−10)

judethedude · Answer

@haleena wrote:

i wish i knew, if i did i would def help

if you dont have the answer, why respond? the owner of this post only benefits from the answer of the question

Aratox · Answer

Please stay on topic ^^

Jesus928 · Answer

@judethedude its ok man like anything helps. Plus this is 12th  grade stuff so I understand its not easy

Aratox · Answer

I took this last year and I forgot tbh, lemme find some notes

Jesus928 · Answer

Thank you so much

Aratox · Answer

Well, bad news, I didn't find any notes from last year :/ However, some Google comes into play when you search up "how to find horizontal asymptotes": "To find the horizontal asymptote of a rational function, find the degrees of the numerator (n) and degree of the denominator (d). If n < d, then HA is y = 0. If n > d, then there is no HA. If n = d, then HA is y = ratio of leading coefficients." (According to Cuemath.com)

Speedrunningban · Answer

Horizontal asymptotes is basically where the line is where the graph is approaching but never touches on the y axis

Jasonisyours · Answer

Compare the degrees of the numerator and denominator, Numerator degree < Denominator degree: The horizontal asymptote is y = 0. Think of it this way: as x gets huge, the bottom grows much faster than the top, making the overall fraction approach zero. Also the numerator degree = Denominator degree: The horizontal asymptote is y = a/b, where a is the leading coefficient of the numerator and b is the leading coefficient of the denominator. In this case, the top and bottom grow at similar rates, so the ratio of their leading coefficients determines the asymptote. In addition the Numerator degree > Denominator degree: There is no horizontal asymptote. The function will grow without bound (either positive or negative) as x gets very large. However, there might be a slant or oblique asymptote, which we can find using polynomial long division.

xEdwinX · Answer

what grade are you guys in To be learning this horizontal asymptotes stuff?

Extrinix · Answer

11th-College, just depends what they're using it on

xEdwinX · Answer

@xedwinx wrote:

what grade are you guys in To be learning this horizontal asymptotes stuff?

dont even say this is not related because this is a question and mentions the words of the topic so don't even with me rn.

xEdwinX · Answer

@extrinix wrote:

11th-College, just depends what they're using it on

thanks ig..

MysticEcho · Answer

it something to do with blah blah blah