Graphing Rational Functions Step-by-Step (Complete Guide 3 Examples)

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Learn how to graph rational functions step-by-step in this video math tutorial by Mario's Math Tutoring. We go through 3 examples involving finding horizontal asymptotes, slant asymptotes, holes (removable discontinuities), x intercepts, y intercepts, as well as using sign analysis.

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Sketching Rational Functions (6 Examples)

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This channel is criminally underrated! You teach very much clearly, Sir. Thank you so much for this! :>

rocks
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you've taught me what my math teacher couldn't :)

camdenlippert
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Not many have the ability to carry over information and teach, but Mario has got it down. Brilliant.

tacticalmistress
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you are a national treasure Mario, the way you thoroughly go through every step is flawless in my opinion, you truly have a gift for teaching great work.

comquatcash
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you are such a spectacular math's teacher I have ever had keep it up .

natsibm
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Thanks Mario! This is by far the best explanation of the subject I've seen to date. This helped me a lot.

shirazqasmi
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i really don't know how to thank you sir, your video is exactly what I need for my final test, stay safe and good luck!

clairez.
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This man is a god. In just a 22 minute video, he was able to teach me everything my teacher couldn't in an entire week. Not only did he teach me everything, he also explained why, like at the 12 minute mark when he explained why you use the starting coefficient, instead of my teacher just saying it as fact. I went into this video fully thinking that I would fail my test tomorrow, and came out 100% certain that I would get a good score, thank you so much Mario.

boblobster
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Thank you so much for teaching about sign analysis. I've watched 3 videos so far, and while they may be okay for simple factors, when you get into multiple factors for the numerator or denomerator it takes a lot of calculations to find where the line goes for each "quadrant" or each side of a vertical asymptote, and not many of them have examples with multiple asymptotes.

slopcrusher
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Thanks I was really struggling on this topic.😀

agentduckduckgoosetr
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Saved me the night before my math test! Thank you!

zoewood
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Ur an excellent teacher, wish u were my actual teacher 🙂

laurandaver
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Love the sign method, I'd never heard of it before. Thank you!

malcolm
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Thank you so much for these tutorials, they have saved my life over and over again

_justchill
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I love it because it literally covers entire graphing rationals

yashaswikulshreshtha
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Your explanation is too good and easy to understand. Thank you sir.

sujathakiran
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Thank you so so much professor, you are so good at tutoring!

chanelvu
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Thanks! You taught me everything I needed to know in 22 mins what my math teacher couldn’t in a week.

via.jackson
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Brilliant teaching skills.
From India

namankhajuria
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The way i understood everything without struggling you explain so well thanks alot Sir

mercyokoth