horizontal asymptote | Mathematics | Page 1

gleaming junco Apr 12, 2024, 1:49 AM

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I’m a bit confused about the process of finding the horizontal

karmic radishBOT Apr 12, 2024, 1:49 AM

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brazen citrus Apr 12, 2024, 1:54 AM

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What have you tried?

gleaming junco Apr 12, 2024, 1:56 AM

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Well I haven’t tried anything because I’m wondering if it’s just y=0 or I would need to expand and solve it

brazen citrus Apr 12, 2024, 1:56 AM

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Ok

gleaming junco Apr 12, 2024, 1:58 AM

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I’m pretty new to this so im a bit confused. I’m not really sure what the difference between the horizontal and vertical asymptotes

brazen citrus Apr 12, 2024, 1:58 AM

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I’m doing it rn

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Almost done

gleaming junco Apr 12, 2024, 1:59 AM

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Oh TT^TT take your timeee

brazen citrus Apr 12, 2024, 1:59 AM

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I’ll send you my work

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You were right

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It is just y=0

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I can explain if you have any questions

gleaming junco Apr 12, 2024, 2:02 AM

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Actually yea that’ll be helpful

brazen citrus Apr 12, 2024, 2:02 AM

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Ok

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Give me 10 minutes

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Let me prepare some explanations

gleaming junco Apr 12, 2024, 2:03 AM

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lol take your time.

brazen citrus Apr 12, 2024, 2:03 AM

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Sorry if my handwriting is bad btw

gleaming junco Apr 12, 2024, 2:05 AM

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XDD you’re fine

brazen citrus Apr 12, 2024, 2:15 AM

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Ok I got some explanations

gleaming junco Apr 12, 2024, 2:15 AM

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All ears

brazen citrus Apr 12, 2024, 2:19 AM

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Hmm sorry I took so long

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It’s quite a simple problem but I made sure to add lots of explanations for each step

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If you have any questions to ask, now’s the time because I’m going to bed.

gleaming junco Apr 12, 2024, 2:22 AM

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Ofoeicisf oky one last question

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So if the denominator’s degree is higher than the numerator’s, is it always going to be y=0?

brazen citrus Apr 12, 2024, 2:23 AM

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Yes

gleaming junco Apr 12, 2024, 2:23 AM

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Ohhh

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Thank you, that helped me out a lot

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XD I was so confused

brazen citrus Apr 12, 2024, 2:24 AM

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Lemme copy paste something you might benefit from don’t go yet

gleaming junco Apr 12, 2024, 2:24 AM

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I got all day XD I’m just worried you’d lose sleep

brazen citrus Apr 12, 2024, 2:25 AM

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General Properties of Rational Functions

The following are general properties of rational functions.

If the numerator and denominator are of the same degree (n=m), then y=an/bm is a horizontal asymptote of the function.

If the degree of the denominator is greater than the degree of the numerator, then y=0 is a horizontal asymptote.

If the degree of the denominator is less than the degree of the numerator, then there are no horizontal asymptotes.

When x is equal to a root of the denominator polynomial, the denominator is zero and there is a vertical asymptote. The exception is the case when the root of the denominator is also a root of the numerator. However, for this case we can cancel a factor from both the numerator and denominator (and we effectively have a lower-degree rational function).

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These are general properties you should try and learn if you have time.

brazen citrus Apr 12, 2024, 2:25 AM

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gleaming junco I got all day XD I’m just worried you’d lose sleep

Don’t worry about me 😉

gleaming junco Apr 12, 2024, 2:27 AM

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My brain is finally running

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Thank you, I might need some help later on but I think I’ll be ready to do most of the problems on my own

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Thank yaursss

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And goodnight, I hope your pillow is cold on both sides

brazen citrus Apr 12, 2024, 2:28 AM

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gleaming junco Thank you, I might need some help later on but I think I’ll be ready to do most ...

If you need any help I’m only a dm away 😉

gleaming junco Apr 12, 2024, 2:28 AM

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I keep forgetting how to close this?

brazen citrus Apr 12, 2024, 2:29 AM

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Close what?

gleaming junco Apr 12, 2024, 2:29 AM

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Ive been here so many times and I still dk

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The help forum

brazen citrus Apr 12, 2024, 2:29 AM

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.close

gleaming junco Apr 12, 2024, 2:29 AM

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🤭😭

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.close

karmic radishBOT Apr 12, 2024, 2:29 AM

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Solved

Post marked as solved by @gleaming junco.

Use .unsolved if this was a mistake.

#horizontal asymptote