Yes, you can pass through a horizontal asymptote!

@user-rv7ge1tc4l

6 жыл бұрын

so what's the point of it?

@GevinMadharha

6 жыл бұрын

What’s the point of it then

@ferdinandcarlpanal2621

6 жыл бұрын

I tried substituting -4.9 to the function X and what comes out is that it is positive

@shamreenamilasan8967

6 жыл бұрын

you can't pass an asymptote coz asymptote (broken line) is a sign of restriction of the graph wew

@nisaantim6594

6 жыл бұрын

why?

yea im fucked

i'm pretty sure it took our class a whole month to learn all of what you just did in 7 minutes...

"NOTE: A common mistake that students make is to think that a graph cannot cross a slant or horizontal asymptote. This is not the case! A graph CAN cross slant and horizontal asymptotes (sometimes more than once). It's those vertical asymptote critters that a graph cannot cross"

@longboi3k487

7 жыл бұрын

thanks i was so confused about that!

@dannespringles2687

7 жыл бұрын

Oh!

@nellybapaletsoe1635

5 жыл бұрын

yeah thanks i was thinking so too

@ppmp9937

3 жыл бұрын

You copy pasted this from the internet lol I read about this

I still dont get it

@chansoo4life293

3 жыл бұрын

Hope you're now doing well😅

I'm studying for my college algebra final right now and I can't even begin to explain how much your videos have helped me. Thank you!!!

spread to word to your friends! i would appreciate it! :)

To those who have trouble understanding why the middle section crosses the asymptote, the occurrence is called a cross-over point and is an unique exception to when a asymptote is crossed. You can find them by subbing in the H.A value into h(x) [HA is three in this case] and solving for x after supping in 3. If the answer is impossible e.g 0 = 16, then there is no crossover. But if there is a value for x. then that is when you have your crossover on your asymptote P.S the point is this question is x = 3/2

@AtomicMushs

10 жыл бұрын

i made a typo its - 3/2*

I understand how to find the asymptotes and intercepts...BUT HOW DO YOU DRAW THOSE CURVES!!! This class is murder T-T

@Foxkoun

9 жыл бұрын

Same feeling here. I'm lost on it..

@darkangelcloud7

9 жыл бұрын

Draw with your wrist moving from left to right. notice how when you follow your wrist, it makes a curvy line.

@danielwhipple1615

9 жыл бұрын

the line you draw cannot pass the asymptotes, the line "tries" to get close to the asymptote but can never cross so it curves until it is parallel to that line.

@darkangelcloud7

9 жыл бұрын

Daniel Whipple According to the function shown in the video, h(x) will cross the horizontal asymptote. To find out which point h(x) will intersect the HA, you know that HA = 3. Make h(x) = 3 and solve for x, and that should come out to be -3/2. So the graph intersects HA at the point (-3/2, 3). However vertical asymptotes cannot be crossed. Otherwise the function becomes undefined because the point would make the denominator equal to zero. Lastly, the graph indeed gets closer and closer to asymptotes in cases where the graph does not intersect it, but it is NOT PARALLEL to the asymptotes. it becomes only infinity closer and closer but never touches it.

Had to replay this coz I wasn't listening the first time...force of habit

@cross5574

7 жыл бұрын

Ikr, same here. i think this is why i cant understand anything in class lol

@mcutalk9432

6 жыл бұрын

Geraldine şϻίţħ Story of my life.

@ilovebibbles

5 жыл бұрын

lmfaooo

@aren8662

3 жыл бұрын

lol one reply once a year

@gegasmeef7850

3 жыл бұрын

@@aren8662 would you believe you're the 1st one I saw?!!! 🤣🤣🤣 Thanks for keeping to tradition!

I am so grateful for these videos! I have my Pre-calc Final tomorrow, and this is helping me way more than my textbook and even my teacher have.

I might be going to Harvard this Fall because of you. I just wanted you to know how thankful I am.

@patrickjmt

7 жыл бұрын

Awesome! Good luck, I hope you make it in!

@KingKromah

7 жыл бұрын

patrickJMT Thank you so much!

@803084006

5 жыл бұрын

Did you get in?

@stevemarti6830

4 жыл бұрын

Fam

@udhav832

4 жыл бұрын

@@stevemarti6830 Haha

he just explained this flawlessly, which that my professor couldn't lol...

@user-rv7ge1tc4l

6 жыл бұрын

Why do you have a professor for algebra 1 material..?

@ihearditinadream

2 жыл бұрын

@@user-rv7ge1tc4l Professor/Teacher is the same thing...

@user-rv7ge1tc4l

2 жыл бұрын

@@ihearditinadream idk why i commented this 4 years ago lmao

This saved my last test grade, which saved my total grade, saving my GPA, saving my life haha. THANK YOU

Thank you so much for your amazing help. Can you share with me the type of camera you used?

Thank you very much! Between my indecipherable professor and my unintelligible text book, you're the only person who has managed to make any sense to me when it comes to this topic. Thank you! I'll be coming to your channel for homework help very often, now.

So a few days ago my math teacher was reviewing this section for our test and he actually got a problem wrong and while he was trying to figure it out, I told him what I thought he did wrong and it turns out I was right! I was so happy that day you have no idea! I told him about you and now he's going to recommend you to any of his students! Thank you so much!

You draw beautifully. Thank you for taking the time to go over this. You are helping a lot of people.

@elaisatubana016 not sure what case 2 is!

How come the left slope doesn't follow the horizontal asymptote?

You just earned another subscriber, You are better than my math teacher she took 1.5 hours and didn't explain well and you took 8 minutes and explained it perfectly.

I don't even need to go to pre calc tutoring I can just look at your videos bless you man

Thank you so much patrickJMT ur vids help me out so much when I'm struggling

You are amazing. I just saved so much time getting a lesson from somebody who can actually teach this stuff. Thank you so much

How is the middle line (between vertical asymptotes x= -5 and x=1) on the graph going through the horizontal asymptote? I thought that lines can't go through asymptotes.

@LILADOWNS

10 жыл бұрын

You have to check: as x approaches -5 and 1 from the right and left, and see which infinite way the graph will be heading. you have to plug in a number as closest possible to -5 from the right of the asymptote, and as close as possible from the left and see whether the outcome is negative or positive. You plug in these numbers to the function then you see what the outcome is. If it's positive the graph goes infinitely up, and if it's negative it'll go infinitely down. It's easier to show you on paper though. The guy in the video went through this problem fast, but overall a good job.

thanks for creating these awesome videos! they really help!!!

Thank you so much! Your videos are the reason why I understand math. I believe finding your videos is one of the best thing I did on the internet.=)

Makes so much more sense. My math teacher speaks waaaaay too fast and doesn't even let me have enough time to copy all the lecture notes and talks waaaaay too much just explaining which does no one good in my opinion. Anyways thank you, I think your more helpful than my math teacher:p

simple and to the point, thank you

I have been struggling all semester with my current professor's teaching style, 30min watching your videos and I feel like I am all caught up. Thank you for posting these! You saved this class for me!

@900q8

Жыл бұрын

Gahdamn it's been 10 years do u still use ts in ur day to day life?

thanks a lot! I have a test on Monday and I feel so much confident after watching your video.

omg you are a blessing!! this video helped out wayyy too much!

You sir are a life saver.....if more students had you as a professor, things would be so much clearer.

Well I have a confusion, in this example for -5 < x < 1 the graph intersect y=2. shouldn't be there a hole where it crosses the line?? please clarify......

So much better than my math teacher, finally understand this. Thank you.

You're the main reason I like Sharpies. Thanks.

Dude i use this learning course called odyssey and your the reason i can understand any of this your a savior

listened and did some practice problems! feel so confident!

how does rhe cuve cross the asymptote and the asymptote must be uncrossed?!!

Good Job! Nice, just excellent. Thank you great way to explain these concepts.

im trying to get a head start on precalc with trig. the first thing the teacher has on her syllebus is Rational Functions. What all is there to know about rational functions? Will i only need to know how to graph them?

I thought you cant pass asymptotes?

@amrojjeh

5 жыл бұрын

You can pass Slants and Horizontal Asymptotes, but you cannot pass Vertical Asymptotes. Vertical Asymptotes - VA is the line at which the function would become undefined, and that is by the denominator becoming a zero. This is why you can never cross a VA, it is because it is undefined. A horizontal or a slant Asymptote is a bit different, however. HA (and slant) describe the END BEHAVIOR of the graph. The end behavior is simply what the graph will look like after some million points later. Which means, that it is no big deal if it crosses it, in fact it is common for a graph to cross, especially when it is near the origin of the graph.

@awsickler

3 жыл бұрын

@@amrojjeh what a facken tope bloke glooks g

Oh my gosh... You are the best!! These vids are the reason I'm passing my math class! I'm telling everyone about your channel!

Basically I love you for this video. I've watched it like, I dunno, 10 times during this unit! :)

Thank you for your help ❤️

This is sooooo helpful! Thank you so much!! You explain things very well:)

glad i could help :) thanks for spreading the word!

Why does the middle portion cross the horizontal asymptote? Thanks!

World class teaching. Thanks

patrickJMT. You saved a life today.

@shankaranarayana6568

10 жыл бұрын

lol

@rodriguezg100

9 жыл бұрын

he has saved many lol

I have been learning from youtube videos since highschool lol. thanks man.

You sir, are amazing. thanks for the help! I think I can pass my test now. Why is youtube always such a better teacher????!

@patrickJMT what's the point of a horizontal asymptote?

You can pass horizontal asymptotes because they signify end behavior. So the graph has to end leading in that direction but the asymptote isn't a solid barrier.

sir help!!!! why did the graph for this function cut though the horizontal asymptote

you are awesome at explaining this stuff!!!

@anotherhappyguy a rational function never cross vertical, correct. but they for sure can cross horizontal.

life need more teachers like you ^_^!!!!!!

Thank you so much for saving my life right now.

i love this! thank you so much! im glad i got a quick review before my test!

This was very helpful. Thank you so much!

Seeing you write by your left hand is satisfying.

This was so perfect! Thanks, it helped me a lot!!

One thing I'd like to mention is that graphing these types of functions is _really_ easy if you use limits. For instance, you find the vertical (if any) horizontal asymptotes and look at the limit of f(x) as x approaches that vertical asymptote from left and right. This will tell you the behavior of the curve.

Thank you.. Very well explained

Left handed problems lol. You covered everything. Above all, it helps a lot.

Are holes and zeros the same thing in these problems? My worksheet says to find the holes and says nothing about finding zeros

Why did I just find you now? I am totally going to ace all my math subjects next term. Cheers mate :))

You can also find what the graph looks like at the end (called end behaviour) by finding what h(-1000) and h(+1000) are, in this case they are both positive numbers so you know that at the end on both both sides the function will be going up

you explain everything so clear and i only understand your videos comparing to others,your awsum...

Can someone explain to me why he passed through the horizontal asymptote?

@PrivacyKingdoms

8 жыл бұрын

+Melarie Laguana YEAH what the heck!!! I am finding this omission of detail extremely irritating. After an strenuous and agitating 10 minutes of looking through online CALCULUS notes because SOMEONE forgot to explain themselves and thus using 10 minutes of my time that could have been spent better else where, I have figured out why. I believe that in the middle portion of a graph created in between 2 vertical asymptotes, the horizontal asymptote can be crossed. (the horizontal asymptote can not be crossed on the parts of the graph to the left of the most left vert asymp and to the right of the most right vert asymp). This is because the definition of a horizontal asymptote is that the y value approaches the asymptote but never crosses the asymptote as you approach x = negative or positive nfiniti. So the graph can do whatever it wants in the middle.

@chrisrongey3065

6 жыл бұрын

For horizontal asymptotes, it's only about the end value, anything in between can pass. ONLY HORIZONTAL ASYMPTOTES THO

@RiuLenn

5 жыл бұрын

you can pass through it but as a non-shaded point (open point)

you just saved my life!!!! Thanks!

Thank You! My summer school teacher can't teach at all and I'm pretty sure I didn't do so well on our quiz today, so hopefully I'll do better on the unit test tom. The funny thing is that he forgot to teach us this yet this is the main topic...

Please respond! my precalc teacher tried explaining it to me but i dont get it, how and why can the middle piece go through the horizontal asymptote? can they only not cross the vertical asymptotes?

@patrickjmt

7 жыл бұрын

why cant the 'middle piece' cross the horizontal asmyptote? a rational function can cross a horizontal asymptote (but doesnt always). it will never cross a vertical asymptote though as that is where the graph is undefined. people tend to think of asymptotes as electrical fences or something. they are not. other types of functions (not rational functions) will also touch their vertical asymptotes.

@mschell350

7 жыл бұрын

+patrickJMT thanks!

@sophiemacomber6537

7 жыл бұрын

The horizontal asymptote applies to the very end of the function (x approaches positive or negative infinity) not the middle

how to you find what value x approaches near a vertical asymptote?

That was explained so well. Thankyou.

Thank you so much! This helped a lot.

I have a question...when are you allowed to cross the horizontal asymptote? like what you did in the first curve

thanks this explains a lot! awesome job you are very helpful!

Thanks for the help It would have been pretty neat if the textbook I'm supposed to be using actually mentioned half of this stuff.

Aaaaahhh! This was so helpful!! Thank you :D

best teacher ever!

when solving for x-int. , what if their are no variables in the numerator?

How do I find a function when I have points? There is no x or y intercept, and only a horizontal asymptote.

What is meant by the multiplicity of one?

Awesome, thanks!

Thank you so much. I just had a major epiphany.

I have a question..... how do you graph this 3/(x+1) ?

in finding the y intercept why did he change the sign of -24/-5?

Thank you for helping me pass math!!!!

thanks man. this makes math hw alot easier

what if you have it as y =..... instead of function of x. is it the same thing? can you still set the y as 0 to find x intercept?

How does the line in the middle cross the horz. asymptote

so why does the horizontal asymptote affect only part of the graph?

thank you! this helped me with my quiz

Very helpful thank you

Nice. This helped thanks

Thank you, this is really helpful

You are a gift from heaven

Why is it okay to pass through the horizontal asymptote?