Rational Functions: How to Find and Graph Vertical Asymptotes [fbt]

[@jjn9621]

I haven't seen such a super explanation. In just one hour, I have learned almost one week in class. Perfect!

[@FortBendTutoring]

Thanks 4 the feedback and kind words JJ N! I really appreciate it! 👨🏾‍🏫😁

[@sharece7205]

These videos are from 2015, but they have been so helpful to me this quarter in College Algebra. I have not done this level of math in over 20 years. So I thank you so much for taking the time to online tutor!!

[@jesp1423]

Awesome job FBT.

[@FortBendTutoring]

Thanks 4 the support DOLLARS! 👨🏾‍🏫😀

[@gingersaiyan5516]

I truly enjoy your breakdown of the problems. Educational and entertaining; the learning is not boring.

[@FortBendTutoring]

Thanks 4 the feedback Ginger Saiyan! I appreciate it! 😁👨🏾‍🏫

[@ReginaGuifarro-fv1yq]

I have not done any math in over 30 years and did not remember anything about Algebra. MR WHITT, you are my hero and made it very easy to understand. I am having a really hard time following my professor. Thank you for making it look so easy

[@DebraWynn]

If it was not for the tutorial help form fort bend I would never have been able to get through my college algebra class. Thank you fort bend.

[@FortBendTutoring]

You're very welcome Debra! Congrats on your success in college algebra!

[@ezmoney1738]

You are very good at explaining things Mr. Whitt. This video helped me to understand asymptotes better now. Thanks once again for the help. Keep those videos as well as them arrows poppin!!!

[@FortBendTutoring]

Will do Isaiah! Your feedback is appreciated!

[@timbruse]

Even though I've completed all the math classes I need for my program in college (with many thanks to your instructional videos), I still watch your new uploads, just to personally further my knowledge just for a hobby. Phenomenal instructing style, Mr. Whitt!

[@FortBendTutoring]

Thanks Tim! I really value your feedback! Hope you're doing well.

[@rainbowbrite1917]

Another successful lesson. Ever instructor has a different technique. Yours is much more comprehensible. Thank you again. It looks like I won't have to drop my math class after all.

[@FortBendTutoring]

+Jennifer Morales That's wonderful news Jennifer! I pray the next FBT video helps just as much!

[@rainbowbrite1917]

Me too!!!!

[@theycallhimsirduke]

Thank you so much. I needed help with Advanced Algebra and I'll tell ya, I would rather have you as my teacher than my current instructor.

[@FortBendTutoring]

+Fat Scoop You're very welcome! I wish I was your teacher 2!

[@johnburens3395]

We just barely started to touch on these so It's nice to get a head start on these over the weekend before class tomorrow night. Glad you had a video on them! Thanks!

[@FortBendTutoring]

+john burens My pleasure John! Good luck in class!

[@johnburens3395]

Thanks but luck is for people who don't study their asymptotes with Mr. Whitt! Hahaha

[@FortBendTutoring]

+john burens lmao Exactly!

[@danirakoze3122]

bro that was crazy never though i could get rid of this topic but I appreciate it thank you.

[@FortBendTutoring]

Happy 2 help Irakoze! 👨🏾‍🏫😁

[@justaregularguy3827]

he is helpful and his voice is giving me asmr haha dang best vid out there

[@FortBendTutoring]

lol Thanks 4 the support! I really appreciate it!

[@_A_343]

Really? I was so intimidated by by just the thought of finding and Graphing a Vertical Asymptotes. Fort Bend Tutoring, you made it simple. Thank you.

[@genasiaallen5759]

My School Has Recently Gotten An Algebra 2 Teacher Who Hasn't Passed His Teaching Test & Was Hired Straight Out Of College Because Of The Outcome Of My Grades Had Been Dropping & It Worried Me You Work It Out So Much Better Thank You So Much

[@FortBendTutoring]

+Genasia Allen You're very welcome Genasia! Happy 2 help!

[@fatukasisamsonolusegun4223]

great teacher .very intresting

[@FortBendTutoring]

Thanks 4 the support and feedback Fatukasi! 👨🏾‍🏫😁

[@aridrubelle4420]

I haven't been listening in Math class for 2 months now and I still don't know why I got an 87% grade. But I want to prove that I can get higher than that when I actually try. Thank you for posting this! Now I actually understand our lessons and pass next week's quiz

[@FortBendTutoring]

Good luck 2 you Aries! I'm rooting 4 you!

[@brocalli123]

I hate math but you make me hate it a little less

[@FortBendTutoring]

+Mark MarthaJones lol Awesome Mark! Just trying 2 help! :-)

[@brocalli123]

Fort Bend Tutoring you should consider making a video whereby you introduce yourself and do a little explanation on why you enjoy maths and teaching it. I think this will ultimately motivate people to become likeminded

[@natashangandwe8616]

Amazing..u really good

[@FortBendTutoring]

Thanks 4 the support Natasha! I really appreciate it! 👨🏾‍🏫😁

[@natashangandwe8616]

Am am doing medicine Am in my first year Doing A - levels

[@FortBendTutoring]

That’s awesome 2 hear Natasha! I’m rooting 4 you! 😁

[@amankamran4668]

tnx a lot sir

[@FortBendTutoring]

+aman kamran You're very welcome Aman!

[@michellebriscoe9]

Hey, Mr. Whitt, do you have a video of finding the zeros in a polynomial function???

[@FortBendTutoring]

Sure! Sketching Polynomial Functions Without a Calculator [fbt] kzbin.info/www/bejne/b5uck5-crKlri68

[@lg7480]

your amazing!

[@FortBendTutoring]

+Filo Sofia Thanks 4 the support Filo!

[@maszdiks]

your videos are so helpful, can you make video on graphing rational functions..please thank you

[@FortBendTutoring]

Sure! This is the first video in the steps we're showcasing for graphing rational functions. After we provide a video for each step, we'll publish a video putting it all together.

[@lg7480]

thanks...

[@FortBendTutoring]

+Filo Sofia You're very welcome Filo! Thanks 4 watching!

[@cheynal-seymonereid5410]

Can asymptotes be horizontal as well as vertical and diagonal? Is it possible for the lines to cross over eachother? Is the graph where you have a single dashed line and you have to either shade to the left or the right also a asymptote graph?

[@FortBendTutoring]

+Cheynal-Seymone Reid Yes, you can have horizontal and several vertical asymptotes at the same time. However, a graph will have either a slant or horizontal asymptote. Never both. The linear inequalities are not the same as asymptotes even though they both can be drawn with dashed lines.

[@cheynal-seymonereid5410]

Why can't you have both? I saw the shading on a graph and the dashed line was vertical and the left side of the graph was shaded. What kind of graph is that if it isn't an asymptote?

[@FortBendTutoring]

+Cheynal-Seymone Reid It's a linear inequality. Sometimes we use dashed lines with inequalities, not always. Sometimes the lines are solid. We always use dashed lines with asymptotes as the graph approaches the asymptotes but don't touch it (in most cases).

[@cheynal-seymonereid5410]

Ooh okay. What do you mean by "in most cases"? What cases would those be? Would it be with the vertical and slant were it had to go through the "x" or "y" axis?

[@FortBendTutoring]

+Cheynal-Seymone Reid Sometimes the graph can touch a horizontal asymptote. It's rare, but it can happen.

[@zackfragoso6044]

o0mgggggg thank you sooo muchhhhhhhhhhhhhhhhhhhhhhh

[@FortBendTutoring]

You’re very welcome Zack! Happy 2 help!👨🏾‍🏫😁

[@leydaaxs]

good

[@FortBendTutoring]

+Leyda Thanks 4 your support Leyda!

[@amandalozano4791]

In my class, to find the asymptote first, I have to add an "h" to all "x" in the function, then I add the original equation but with inverted symbols. And, finally, I have to divide everything by "h". After solving everything, all "h" are substituted by 0..... What kind of method is my class using?? This is so much simple! Anyways, can you explain the method I just referred to, please? I can't use the method you are using in my exam because it is "not the one I've been taught" :( .

[@FortBendTutoring]

What you're describing is the difference quotient and it's used to find the equation of the tangent line. It's not used to find the asymptote. These are two different concepts.

[@bobomee]

For # 4 why wouldn't the Vertical Asym be x=0 and x=-1? Because even if we simply don't we still have to use the original function to determine the VA?

[@FortBendTutoring]

You're confusing the process of finding the domain with finding vertical asymptotes. They are not the same. Because you have a hole at x = 0, you will not have a vertical asymptote there. For any value of x excluded from the domain, it will either be a hole or a vertical asymptote. It won't be both. kzbin.info/www/bejne/faKZl4CheamkmqM

[@dainerra]

what if i simplified it to ( x-4 ) ( x+2) my graph would be a reflection of yours with 4 an -2 does that matter

[@dainerra]

in the problem 2x / x^2-2x-8

[@FortBendTutoring]

Yes it matters because your factorization is incorrect and not equivalent to the original denominator. You may verify this by multiplying (x - 4)(x + 2).

[@FortBendTutoring]

We know. Your denominator is different from the one in the video. Problem 7 is f(x) = 2x / x^2 + 2x - 8.

[@dainerra]

That's my bad, yea i just wrote it down wrong from your problem.

[@stephenprice3357]

shirly liquor lmao

[@FortBendTutoring]

We love Shirley Q. Liquor! Thanks 4 watching!