Graphing Rational Functions Using Transformations With Vertical and Horizontal Asymptotes

This algebra video tutorial explains how to graph rational functions using transformations. It explains how to identify the vertical asymptotes and horizontal asymptotes of the rational function. In addition, it explains how to determine the domain and range of the rational function. It contains plenty of examples and practice problems.

Domain and Range - Free Formula Sheet:

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Fundamental Theorem of Algebra:

Rational Expressions - Basic Intro:

Simplifying Rational Expressions:

Multiplying Rational Expressions:

Dividing Rational Expressions:

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Adding & Subtracting Rational Expressions:

Rational Expressions - Unlike Denominators:

Simplifying Complex Rational Expressions:

How To Solve Rational Equations:

Rational Equations - Extraneous Solutions:

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Horizontal and Slant Asymptotes:

Finding Rational Functions Given 2 Points:

Rational Functions - X and Y Intercepts:

Graphing Advanced Rational Functions:

Rational Inequalities:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[georgesadler]

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.

[ThanhLe-ghqx]

Great explanation! I wish my teacher is half of as good as you are

[raofficial]

For the very first time i have learned something from youtube because of this guy.

[Salvation]

Amazing! Thanks a bunch, I have a quiz tonight, and this video helped me understand fraction translations!

[ketlins]

Your channel is the only reason why I'm even passing my math class 😭😭

[Relaxing_Music-we]

Thanks, I can now ace the exam and get full marks thank you 😊

[Wxldcat]

great video dude it inspired me to get a phd

[Dudeotter]

thanks so much for this video! I have my algebra 2 exam tomorrow and I'm using this as review haha

[mutalecharles]

Am having a quiz today and this video has really helped me alot

[sandarlynn]

Me patiently waiting to skip the ads so that I can watch your lectures :)

[frutchiedeen]

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!

[mrk.]

thank yoou so much youre saving me in college for pre calculus!!

[victorychannel]

can you do more explanation about how to draw asymptotes

[BrightAcademy]

very clear and easy to understand teaching. i alway love your videos. thank

[SpinzzIsCracked]

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

[elviraigorevna]

Incredible! Thank you so much for this content!

[futbolyou]

at 8:20 why is the horizintal Asymptote 0?

[zachadolphe]

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?

[gleidyscarpio]

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

[limit.broken]

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