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One-to-One and Onto Functions
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- čas přidán 14. 09. 2013
- Video Lecture covering functions that are both one-to-one and onto
Here is another video I created dealing with one-to-one and onto functions using mapping diagrams.
• Surjective (onto) and ... (Injective and Surjective Functions)
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If I had this teacher, I'd never miss a class.
thanks for the love. I'm blushing!
animallover4ever100
If i had you as my teacher...well, i'll probably drop out!
jk jk
Hahahha, sameeee😍
S I M P
It's amazing how in 7 min you were able to explain something that teacher struggle to explain in hours. Thank you for the video!
Mike Thanks Thank you Mike! I hope it helped!
I am currently studying Economics at University, I understand all the complicated stuff but not those simple things and all explanations that I found on this subject are so incomprehensible. Thank you very much for making it this simple !!! ( Because that's the Art of Explaining: To make it as simple as possible, but most of the teachers (and University professors) can't understand that... Again, thanks !
thank you so much! I really appreciate it
You explained in 20 seconds what four books, a tutor, six other videos, Khan Academy, and a professor could not.
Thank you.
Pretty Handsome Math teacher....
Thanks for this information. Even being 6 Years to this upload. This is helping a lot of students in getting clarity.
Cheers.
This guy saved my life in discrete math class
i have exams this morning and with this i am very very good to go... thanks so much sir
Your videos teach more succinctly than any university professor I've had. +1!
Thank you!
Great topic completed in 6 min,,, appreciable
simply and nicely explained.highly recommended video
Your explanation is pretty clear.Thank you for your time.
u r a fuking legend m8
+Gary1q2 Thanks buddy
I really love your videos, even though you dont get plenty of views please keep on doing them
Thank you. If any of my videos help you then I have done my job!
he has now 197k views..thats a lot
wow. You cleared all my doubts about one one and onto. Thanks a lot.
Explained very well. Thank you for covering these topics.
Glad it was helpful!
This is such a great and simple explaination 👍💛
Can't believe I had to google this in English. And it worked.
Why can't professors be this clear IRL
+GreenAlpha Thank you! I do my best
Appreciated man ur sharing ur knowledge in this evil world..
Anytime
no problem
Made a mistake with x^2+2. The function is onto since all the y-values (codomain) have an x-value that "goes to or maps to it."
So does that also apply to the absolute value function?
This would be a great comment to pin!
what about the negative y values?
@@kinggeedora they are not in codomain
Really interesting and Good teaching method
Came here to learn maths and felt in love
+Gustavo Marques da Silva Thanks for the love
Very well explained . Good Job.
Very good and clear explanation! It will be good if you can also list an example of an onto function but not one-one, such as f(x) = x^3 -2x^2+7
Thank you so much for watching. If f(x)=e^x, the function is not onto because not all y-values are mapped from a value in the domain (for example 0).
Ohkk thanks sir... I got it...🥳
Well..I'm from India🤗
Nice one and simple
Thank you
Glad you liked it
Thanks, Nick. Very explanatory video.
You're a great teacher, thank you for your videos!
Quick and clear explanation, thank you
fantastic presentation
thank you Ally!
Thank you so much for explaining it in such a simple manner! Instead of explaining it as simply as you do, my teachers give such long definitions that make all the students do mental gymnastics and leave them confused. Instead of saying in one clear sentence that two values of x cannot be assigned to the same output for one-to-one, I receive explanations in class such as: A function fis said to be one-to-oneor injectiveif and only if f(a) = f(b) impliesa= bfor all aand bin the domain of f. A function is said to be an injection if it is one-to-one.Alternatively, a function fis one-to-one if f (a) ¹f (b) whenever a ¹bUsing quantifiers:"a "b (f(a) = f(b) ®a= b) or "a "b (a¹b®f(a) ¹f(b) ) WTFFFFFFFFF
Thank you so much for this video...really helped me
I'm so glad!
Cleared the confusion and helped in my exam.Thank-you Very Very much
Glad I could help
Extremely well explained Nicholas! thank you very much :)
Thanks a lot Nic, this was very helpful man. Appreciated.
My pleasure! Glad I could help
Superb!Way to go.!I need the explanation of the difference between one one and into function.
He should have been my teacher forever
this vid helped me in my linear algebra class :) tnx so much
Awesome! I like your explanation.
Glad to hear that!
hello sir your explanation is superb
Wow! that was all explained so amazingly well!
Fantastic video. Thank you so much.
+Gai Cheng Glad I could help
Thats what i call real explanation 👑👑👑 just one question to be sure ...for a function to be onto should its range ALWAYS cover -infinity to +infinity? Thanks 👍👍
Thanks for this. Really cleared up difference between the two types for me
Nice explain Sir
wow.. just wow... amazing
This guy is very smart too 👌
Thanks a lot.. Love from India 😍
Thank you too!
Thank you very much for this explanation.
+Kedar Kelkar anytime!
After watching this video, I got a better understanding rather reading a textbook.
Jason Situ Thank Jason, glad I could help!
great explanation, helped me a lot! thanks!
I loved it... Thank you sir for your explanations 😊😊
This video was really helpful.....I appreciate the work...Thanks buddy 😀😊👍
My pleasure!
I was getting confused in discrete matthmatic thank you so much
No probblem!
Thank you! Very concise!
thanks
thanks alot.it helped . it saved my finalssssssssssssss..
Thank you for this helpful video
Excellent explanation, thank you so much!
Amazing stuff man!! Really helped me out there! Thanks a bunch!! :)
great effort learn alot thanx
thanks sir. :D
supremely helpful!
absolute legend dude !
very simple and easy to understand
thanks
saved me from talking to my hard-to-understand discrete maths teacher, thnx
awesome man...good work keep it uo
sir your video really helped.....please make a video on ghrafs of different funtns.....thankyou sir
Your video helped me so much 😀👍
+Naveed Mirani Glad it did!
simple and useful. Thank you
really great explanation..
Thank you!
This video is very helpful!!!
Alinaddung glad you liked it
Kept it simple and interesting, awesome man😍
Thank you!
could you please tell how is the given que an onto function.
Que: f : R --> R
f(x) = 2x
My doubt is that since range contains all the even values(i.e. no odd ones will attain their pre image).. so how is it an onto function?
Well explained ey. could you please upload a video that shows how to determine Function if is onto or one to one without using try and error method
I was looking for the algebraic equation as well for f(x)=3x-4, even though I should know it, I was hoping for a more complete explanation!
Thank you man, I have an exam tomorrow and this helped a lot.
+Moham'mad Sha'aban How did you do?
Really good.
Thx.
awesome explanation
Thank you! Glad I could help
you are amazing. are great at explaining thank you
+kelly persaud Thank you Kelly!
does range have to be. (-infinity,infinity) for a function to be "onto"
Great lesson.
thank you!
Does this mean that unless the range is (-infinity, infinity), the function is not onto?
f(x)= ⌈x/7⌉ -5
This Function looks like linear function but there steps in between.. will this be consider One to one ( for all x values there is link to one Y value...) but some X values share same Y value...
thank u soo much it helps me a lot......
better than my professor
sir in case where all values in range is paired with single domian value , and there is few elements is floating in domain which is not paired with range , is it a one to one function ?
Thank you so much Nicolas for helping me visualize things with the help of graphs. I was able to understand the concept. But I have a doubt. Can one domain (x-value) have two codomains (y-values) in an onto function?
+Vrusha Dhwaj Glad I could help
+Vrusha Dhwaj yeah, as long as there is no y-value that isn't paired with any x-value
Yes, using the "ONTO" designation, but that of course would not actually be a function.
It was really useful Ty!!!
Very helpful!
I've learned that a linear equation is always a bijective, while quadratic equation cannot be one to one most probably cannot be onto. is there any other easy way to determined whether the equation is injective, surjective, and bijective function?
+Monica Jean Busog Basically, if a y-value is not in the range, it won't be surjective and therefore won't be bijective. Think about any quadratic equation. There are tons of y-values that do not exist. Think about x^2. There can be no negative y-values therefore, the function can't be a surjection
thanks for great teaching
+omkar kale Appreciate it!
the best
one problem tho... if you restrict the domain, a function that is not one to one can become one one or injective
you are super teacher
The right diagram on 3:48 wouldn't be considered One to one right?
Really good explaination sur. But i wonder, is there a way to prove that the parable funciton is not injective by using algebra?
I would have to look in to this
Onto function 1,8 have no pre image but it is one to one function.am I right ???
thqnk you sir you are good teacher
thank you sir!
for that worthy help
but i have a query that what should be the solution for a function_ f(m,n)=2m-n.... is the function an ONto function ...
if it is then how it is??
Let me get back to you. I can check
I appreciate your help, thanks sir!
Thank you!
explain the relation between into function & one to one function with examples
Well they are not specifically related. Some one-to-one functions are always onto. I think of polynomials of odd degree (lines, cubics), etc.