Thanks king

I be watching these just to feel like i was back in your class sometimes

This video changed my life. I love you Travis 🥰🥰🥰😘😘😘😘

I just don't understand how there can be an output in the codomain that doesn't have an input. How would you determine what the co-domain is on a graph, or with just an equation (w/o the illustration)?

can you express its image? if the values of x start from that value to infinite??

Thankyou so much sir.😁❤❤

This was so helpful thanks ;)

Louder for the ppl in the back

Thank you!

Thanks Sir I am greatful for your help ❤

Nice ❤

🥕good

cheers

Why 1 by 2 come 2sq

thank you so much for saving me I was having a little crisis five min ago:)

Thanks for explanation:)

Now I know why

tyyy

you are a real hero

What would've been a 10 second video you turned into 6 minutes. Nice.

this is awesome tutorial you explain everything so clearly

thanks

If x=infinity then will all functions be undefined?

ur the best thank you

Thank you😢❤...now i can do my homework 😂

Sorry to bother you. I don't get the purpose of a codomain. I mean a range can be { 1, 2, 3, 4 and all the positive integer} so technically codomain can be "set of positive integer""set of Integer" or "set of R" because it's just all included. Another possible situation that I can imagine is Y(codomain) is another thing just like X(domain) but just another one, once compare mathematicians use the range of X to compare with the domain of Y.

thanku!!

Thank you this was the only video that taught me🙏

thank you so much for this video, this is a very understandable and easy method

Thank you sir, you've really helped a lot

saved me life thnkss rgfedkfmwrboutjgkfm,d

thank you for the video!

Thanks a lot

Thanks😊

ᎮᏒᎧᎷᎧᏕᎷ 💥

You have confused the fundamental theorem of arithmetic with the fundamental theorem of algebra. The fundamental theorem of arithmetic is that any integer > 1 can be expressed as the product of one or more primes. The fundamental theorem of algebra is a polynomial of degree n has n roots. Easy enough mistake to make.

Yessss thank you man you're a life saver - had so many ahhhhh moments there

ok

Thankyou so much im gonna ace my algebra 1 eoc. I was struggling with grasping the concepts and God lead me to this video and its just a breeze now! May God bless you and you continue walking in purpose thankyou so much once again!

Thank you Travis, my professors/cs department have decided to stop actually teaching the material in class and only give out worksheets and stolen youtube videos for the students to learn, which by the way suck. This is video was concise, correct, and well thought. This was amazing and thank you so much for making this video. I hope you have a good day and everything that you do ends in success <3

Hello my friend! Thank you very much for your video. I was looking for a demostration of "Is the cubic root of prime numbers irrational?" but, your proof was really helpful to me. Only two doubts, please: a) In 3:03, alpha and beta are greater-than or equal to zero. But, the prime factorization of a number doesn't include in its is prime factors the number one, do you agree? b) You say in 8:08 that there are 0, 3, 6, 9, etc. numbers two in the left side, but, we are assuming that p is an even number. At least it's one, isn't it? I’m much obliged for your video!!

Thank you so much

Thank you kindly

thanks man

tysm

An kreyòl svp

thanks that really helped🥰

I love you

super helpful thank you!