Injective(one-to-one), Surjective(onto), Bijective Functions Explained Intuitively

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A nice way to think about injective(one-to-one), surjective(onto), and bijective functions.

[@zSinghsOG]

profs stay making this stuff 100x harder than it actually is

[@joemcdonough7509]

Thank you master!! You just saved my life today! Never seen such a clear and to the point lesson.

[@Boomber123]

No numbers were harmed in the making of this video...

[@TheMathSorcerer]

haha yeah

[@aasthakumar1106]

....and no neurons were harmed in the viewing of the video either!

[@keanuwick7929]

@@aasthakumar1106 N no doubts remained after this video..

[@SuperHamzamadrid]

simple , fast and perfect keep saving us

[@TheMathSorcerer]

np:)

[@gandhiandy269]

Literally, this is how teachers should be explaining things - with simplicity. Thank you!

[@TheMathSorcerer]

glad it helped!!

[@Jeet0301]

After 9 years I finally had a trick to remember this. Thanks.

[@ashleyyadams1401]

FINALLY , you saved me a night of headache

[@lilromain101]

By far the best and easiest to follow video on functions

[@giddynun]

I learned so much is such little time. I’m great full for people like you!

[@TheMathSorcerer]

Awesome 👍

[@mrboyban]

The last Math teacher Jedi. May the force be with you

[@TheMathSorcerer]

thank you!

[@Foxflix]

where have you been i've been searching and watching so many videos and longer videos but you just killed it in 5 min thanks a lot from the future of Sep 20, 2014

[@TheMathSorcerer]

:)

[@mominahmad5575]

you are a great teacher.

[@filip8985]

my teacher defined injective as "if it takes distinct elements to distinct elements, ie if x,y ∈ A and f(x) = f(y), then x = y", that now only makes kind of sense after i understood it from your video, so thanks!

[@subhaschakraborty2678]

Thank you Sir for this type of very easy and understanding explanation.

[@avishig9955]

short crisp and just to the point !! thank u !

[@TheMathSorcerer]

Welcome!

[@BD_9333]

Thank you,I love you so much 🥺🥰😭❤

[@humanaccount2754]

nice, thanks. so am i right to sya that words like "injective surjective bijective" describe the co-domain (or the range) and the lef-unique and all that is relating and relevant to the domain?

[@hypnokitten6450]

wish everyone explained things as clearly as you! :)

[@TheMathSorcerer]

Hypno Kitten awww thanks! I'm glad it made sense!

[@isync_gaming]

I love this explanation thankyou ,it was good quick revision for me❤

[@doesitmatter6507]

you made it look so easy, legend

[@captingin6]

i swear... textbooks plz just make it this clear and simple

[@slowast]

It's just awesome. Thank you so much The Math Sorcerer It hit my brain so easily. :)

[@TheMathSorcerer]

:)

[@sonnywerb]

5 minute video helped me learn more than 80 minutes of lecture. ty

[@TheMathSorcerer]

Awesome!

[@hardiknarang6631]

It was a good effort !!! Keep it up!!

[@rohitbirwatkar2454]

Thnks....... It was very Helpful👍

[@callmedeno]

So you can have bijective where some in the domain don't get mapped?

[@anitaberglund8745]

Tackar så mycket, very nice and simple. Please show us more, Gandalf of mathematics! :D

[@bahadrsarcicek7110]

Thank you so much!

[@mlfacts7973]

such a great video !Thank you

[@TheMathSorcerer]

You're so welcome!

[@leelouie7113]

really nicely explained thank you :)

[@TheMathSorcerer]

Thank you!!

[@keanuwick7929]

Honestly, Understood Thx sir....🔥⚡

[@TheMathSorcerer]

Thank you!

[@badshqrqe5763]

Thank U for this excellent explanation

[@TheMathSorcerer]

np!!!!!

[@wax610]

xcellent and precise

[@TheMathSorcerer]

[@emamulmursalin9181]

Too good .... Astonished .... Keep it up ...

[@TheMathSorcerer]

glad it helped!

[@jeboitonny1901]

Great video! Thanks a lot!!

[@TheMathSorcerer]

You are welcome!

[@amirhaghkhah21]

EXCELLENT!

[@TheMathSorcerer]

Thank you!

[@RaafieNL]

Very good, thanks so much

[@TheMathSorcerer]

RaafieNL Np, I'm glad it made sense!

[@bartdacaveman]

Great short explanation :)

[@TheMathSorcerer]

bartdacaveman thx!!

[@malcolmhollett8638]

beautiful

[@birajpokhrel4441]

thanxs

[@tloukgare4659]

that is perfect

[@TheMathSorcerer]

glad it helped!!

[@RBSRG]

Cannot thank you enough

[@MileeWilson]

His definitions are so hip.

[@TheMathSorcerer]

+Mi-lee Wilson lol thanks:)

[@megha4785]

HIS VOICE IS SO

[@TheMathSorcerer]

+Meghana Kandarpa LOL yeah I know, terrible voice:)

[@glassfish7207]

E.

[@wolfcompany2]

not surjective and not injective looks exactaly the same