Find asymptotes and intercepts of a rational function
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- เผยแพร่เมื่อ 7 ก.ย. 2024
- 👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x.
The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator.
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Organized Videos:
✅ Find the Asymptotes of Rational Functions
• Find the Asymptotes of...
✅ Find the Vertical and Horizontal Asymptotes of a Rational Function y=0
• Find the Vertical and ...
✅ Asymptotes of Rational Functions | Learn About
• Asymptotes of Rational...
✅ Find the Asymptotes of a Rational Function with Trig
• Find the Asymptotes of...
✅ Find the Asymptotes and Holes of a Rational Function
• Find the Asymptotes an...
✅ Find the Slant Asymptotes of the Rational Function
• Find the Slant Asympto...
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There's actually a hole at X=1 because you have an X-1 term in the numerator and in the denominator. X=2 and X=-1 are your only vertical asymptotes
Great catch! I should have factored both the top and bottom to look any holes. I will pin your comment so other viewers are aware.
came for to mention this out, but you already did, good job mate!
Yeah (2x-3/(x-2)(X+1)) is the fully simpldyed expression, with V.As being X=2,-1, no slant, and H.A being Y=0, with an x-int of ((3/2,)0), a y-int of (0,(3/2)), and a hole coordinate of (1,(1/2))
Don’t pin it. Redo the video.
Plans to redo the vid?
Please tell me you’re not profiting from this garb.
Yo, why the frick is this man's smarter than my whole math department, my math center didn't know what they were doing, and when she said give me a sec to figure this out, I SAW HER LOOKING AT YOUR VIDEO!!!! u the real g Brian 😤💯🤜🤛
year 2020 and this man right here really save a lot of students especially in this pandemic:>
Thank you for making this better to understand.....You took the fear out of this for me.......🙏🏾
i love your teaching. im in HighSchool PreCal and i watch yuor videos when i dont understand.
happy to be able to help you out! best of luck this year Julie!
you are very welcome!
@Seph Bruh momenting a 5 year old comment
i love the way u teach, its amazing.
anyway thank u so much
n i think u r students are really lucky to have u a teacher like u
appreciate it and happy that my videos help
My Honors Pre-Calc teacher “taught” us this today, I was so confused when I left, but this helped me understand.
You do the public a great service with your videos. I've watched many. They're even on Amazon Prime! My only frustration is how FAST you go. I hit pause and back up a lot. I wonder if you teach AP kids. I really wish you'd slow down just a little... You're a very good teacher!
thank you very much! Yes I do teach AP and know I can talk fat every now and then
this video might just help me pass my test tomorrow thanks
i learn more from this dude than my actual math teacher ksdkdjsjdsjsd
Yes，the first thing we got to do is to check if there are break points，or say to check if there are common factors of the numerator and the denominator
Thank you very much! Randy Orton!
The speed he writes at is diabolical. Thats the true equation im tryna solve
I have my third college algebra test tomorrow, this helps so much! Thank you Brian
delete this commment
You just saved me from failing my test tomorrow thank you 🙏🏻
literally i solved this in 5 seconds using the calculator thanks by the way .
Brian at 6:22 could you have done the a times c method? Or cannot you not or shouldn't do it when doing equation is equal to 0?
itsKiff
Brian needs a better script.
Sir What will I do if the denominator is not factorable?
What is done at 3:59 is absolutely wrong. You cannot multiply and cancel the denominator function since the denominator function can take the value 0 (for x=2 or 1 or -1).
man i zoned out in class and now i know how to do this stuff thanks again
Thanks dude. I was absent for 2 days because my grandma died but I still managed to keep up because of you. Thanks a lot
sorry to hear of your loss, happy my videos could still help you
+Brian McLogan Thanks😃
you are very welcome!
I just gotta say that you are awesome!!
Hello Mr. Brian, I am not fully understanding (pause the video at 1:17 and let it play - 1:20). Please explain!
hello -3and -1 doesn't give -5...I am lost can you explain
I figured it out thank you
Now this guy knows how to teach, all my math profs suck
you da man simple and sweet!
thank you so much, sir.
Thank you
I was confused at the x-int. Because he valued f(x)=o intead of y
But over all understandable
aren't the vertical asymptotes just x=2 and x=-1 because when you factor the top you can cancel a x-1 in the numerator and denominator.
juliana damaa correct
Find the equations of the asymptotes of the following graphs
y=(3-x)/(2x+5)
y=2/(2x+1)
Thx for this
you are very welcome!
helped me alot
great! happy to be able to help you out!
everyones talking about college and this is my freshman year of highschool learning this???
Impossible to tolerate because of the pronunciation of “asymptote”.
swapping the “p” with the final “t” destroys the content.
why ican't understand?
do you have a question I can help you with? I have plenty of examples on this topic, easier ones as well that might be helpful to start at
Goes into too much detail and talks fast… just tell me the steps.
Not helpful