Graphing Rational Functions Using Transformations With Vertical and Horizontal Asymptotes

[@TheOrganicChemistryTutor]

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[@georgesadler7830]

MR. Organic Chemistry Tutor, this is another solid explanation of Graphing Rational Functions Using Transformations with Vertical and Horizontal Asymptotes. These concepts are fairly easy to understand. Over the years, I tutor this class at the Community College of Baltimore County in Catonsville, Maryland. I really learned this class by teaching it to many different students.

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[@victorychannel7776]

can you do more explanation about how to draw asymptotes

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[@frutchiedeen9902]

How would you graph this kind of function if it has a numerator greater than one? That’s my only question. The rest of the video was extremely helpful, thank you!

[@thatsenoughoutofyou]

For a rough sketch, not particularly different. More accurately, the curved parts wouldn't be as close to the asymptotes, especially at the places where vertical and nonvertical asymptotes meet. The numerical numerator is a stretching factor, we can say.

[@Leviathan12]

@@thatsenoughoutofyou Would y=1/x -> y=3/x be a vertical shrink or stretch?

[@tamtam284]

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not ne learning this 4 years prior and still needing help bc school don't teach you to memorize this stuff

[@igorm8706]

17:55 count me in

[@futbolyou4129]

at 8:20 why is the horizintal Asymptote 0?

[@Eth4ron]

Because n > m. When n is greater than m, the horizontal asymptote is 0 most of the time.

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[@zachadolphe3633]

for y = (1/x^2) -3 shouldn't the graph show going to negative infinity as x approaches zero from the left and be below the -3 HA?

[@shoukokanzai463]

X cannot be negative

[@gleidyscarpio7709]

hey, your las exercise, I thought when you have the difference of two squares you make x=2 and x=-2 making two vertical asymptotes instead of one

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[@proggapaul5776]

y = 1/(1 - x)
What is the graph of this equation?

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[@limit.broken6371]

4:54 shouldn't it be (0, negative infinity)?

[@susa9786]

Negative numbers are on the left side of zero, so it's (-infinity,0)

[@ImHezer]

Negative numbers are smaller than zero

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9:32

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7:03

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