How to Find Domain and Range of Rational Functions 5 MHF4U

Rational Functions Domain Lesson:
Rational functions are quotient of polynomials where the denominator cannot be zero. Understand Behaviour near asymptotes, x-intercept, y-intercept, Vertical Horizontal Asymptote, Sketch Graph

[NavedKhan-oxdp]

fab video, explained very well and very calm

[robroineodingal]

I'm fascinated by your English. I really like it. It's hard to describe but it sounds so soothing and calming.

[rameshchandra]

So clear, crisp and neat...!! without any drama. Too good. Thanks for the upload.

[Stvrfiire_]

Thank you Mr Kumar, you’ve helped me so much with math! I give you my greatest thanks 🙏

[solomonkimba]

Great explanation, however is there some ways that we can write domain and range without drowning the entire graph? since drowning graphs in some test and quiz is time consuming so🙏

[jstensrud]

This was very clearly explained and easy to understand. Thank you.

[ytshubh]

Good morning sir
If I have any doubt I always prefer your videos. Sir, your way of teaching is awesome.
In the following question I have found domain but I am not abl to find Range of the function .
If f(x)= {(x^3 -x+3)/(X^2 -1)} then find domain and range of the function .

Please sir tell me the Range of the function

[rahulsah]

angle between two forces is 45° f1=10newton f2=14newton the 14newton force is horizontal force find the resultant force and magnitude direction when
(1). 14newton is pull and 10 newton force is push
2. both forces are push.

[maisarakamarul]

Thank you teacher!!! You save my life!

[carlal.]

Thank you so much, simple and to the point. !!!

[BradKwfc]

Great video, very well explained! Thanks

[skiv]

Thank you so much for this. I understand it now.

[lemuelcastillano]

Hi! can i attach the youtube link of your video to the self-learning modules of our department in order for the students to learn more from the contents of this video aside from the modules that will be distributed to them? Thanks a lot.

[MathKnows]

im kinda confused with the third one. may i request for some examples? hehe if its ok?

is horizontal asymptotes same with the range? just like verticak asymptotes same with the domain?

[kathrynlalaful]

This explanation was very clear, thank you

[ar-aragaposa]

I can't See how To Get The Range I Hate The Subtitles that Covers The Graphing Portion.. But I Love The Way How He Explain The sad Thing Is I can't Follow Because The Subtitles Cover the Graphing Portion

[hannahe]

I don't understand how he got the x-intercept at 4:36. I can't follow what he's doing :(

[laliganduwala]

Hello Sir, have u uploaded any video where u r teaching how to plot graphs as shown in dis video....if i get a link to it...it will be of much help..thank you and have a nice day

[cefb]

Slowww downnnn.. when you're explaining the range.

[andreadelbosque]

Why is the range for the third one 0<y<=1 and not just y is all real numbers except 0? Where did the 1 come from?