Discrete Math 2.3.2 One to One and Onto Functions

[@toolikagupta7193]

This is the best explaination I could get in this time limit ... Really thank you ma'am❤

[@Mrweeeeeb]

For second question its possible to draw a picture .
Consider ,
set x and set y
Y is an function of x
f(x)=x²
Take the values of set x as +1,-1,+2,-2 .
For set y
we can take 1,4
Now , -1 ,1 matches with 1 (set y)
and
-2,2 matches with 2 (set y)
Anyways thank you for the information it was vital as I need to complete my syllabus

[@PlasmateWorld]

Hi I think you might forget to add this video to the linear algebra playlist. Also, thank you for the effort and explanation!!!!!

[@whichdude420]

that last example is exactly like in my worksheet..tq..much love

[@jerickosoria5084]

Thank you for your explanation, it makes it easier to understand

[@aurumstinger4479]

I am definitely subscribing to this channel

[@Kayoooo20]

A one to one function is one in which each input has a unique output.
In your explanation, there were two inputs that mapped to the same output.
Please clarify this.
Thank you.

[@flutececi]

I think that part of the explanation was when she meant that's NOT one to one. The example that showed two inputs mapping to the same output is supposed to be surjective (onto), not injective (one to one)

[@naimahaq4343]

thank you for your videos , i really love math after saw it

[@chasemarangu]

Thanks for teaching me the terminology! found this video helpful lol

[@urikajereymercado2729]

what app do you use

[@deusvult725]

What will you do for "onto" if your codomain has more elements than your domain?

[@SawFinMath]

As long as each element in the codomain is mapped to, it is onto.

[@toolikagupta7193]

So , if all the elements are mapped for the above case it would be onto function but not one to one function

[@IcePlays]

Thank you

[@h1ich]

Keep going it was really helpful 💕🦋

[@SawFinMath]

Thanks! Be sure to watch the updated videos!

[@FaizanKhalidofficial]

Helpful. Thank you.

[@SAM-ol5ip]

Very helpful thanks a lot

[@paranormaledits9526]

Thank you.

[@NM-se5ql]

this is pretty well explained :))

[@chadbardwell3845]

umm isnt the example one-to-one? co domain doesnt need all its elements to be mapped back...???

[@satya2550]

Yes it is.
Number of elements in domain can be less than or equal to number of elements in co-domain.
So all elements in co domain don't have to be mapped to all elements in domain.

[@cressongeminipokias7861]

Thanks, it was really helpful. Can I use your video for our school requirement? Thank you :)

[@ansri24]

thank you so much

[@BlackCat-ym9yh]

Thank u !😘

[@Dev_zZ14]

Thanks teacherr

[@ipadkihsjdk]

Wts a codomain?

[@dominicclark3774]

depends. its always a y value, but you could have a codomain element, (small y) or the full set of small y's, which is Y (set Y). Set Y has an actual name is this situation, nd that actual name is the CODOMAIN. you get all your small y's or individual y elements by applying the function rule/equation to the DOMAIN, or all the small x values. remember the function/ equation is a MACHINE than runs all the x elements (domain) through it, to get all the small y's (set Y/ CODOMAIN)

[@toolikagupta7193]

For simplicity .... The b set (or) the second circle in which elements are written ... That is co-domain😅😅😅

[@RidwanurRahmanextreme]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[@sarahju4524]

I love you

[@femaledeer]

this is very poorly explained

[@SawFinMath]

Sorry you feel that way.

[@ericplz7420]

???
This was very well explained...
maybe you are slow zzzz

[@siuuuuuu-rs8ez]

@@SawFinMath dont listen to them you are amazing at what you do. Keep up the good work

[@sweetymalhotra5180]

Hello maam do you have any social media handles to be in touch

[@SawFinMath]

I don't have any public social media handles at this time.

[@mejiagrey830]

Thank you