Introduction to Functions (2 of 2: Visualising examples & counter-examples)

[@BahaaSharaf]

The "OOOHHHH" of understanding is the best feeling ever

[@senzomagagula7112]

In South Africa, we call people like you Induna. Thank you

[@sukd2669]

Eddie woo, your amazing, and very kind hearted. Thanks so much.

[@luamfernandez6031]

Does he have something amazing?

[@SanikaMasud]

Good job Congratulations on winning Australia's Local hero !

[@rikvanschaaik8443]

What a great guy! I love how you interact with these students :)

[@yokeshwaran7305]

Super sir Respect from India 🇮🇳🇮🇳

[@vksplanet]

Mai abhi saraswati visarjan me hu

[@exismys]

🙏

[@jammiedornan2570]

Simply the best😍😍😍😍

[@deft_illust3019]

Really nice video, it was fast and understandable. Also my teacher uses your videos as a guide for our online class!

[@artoing]

Me: This guy's incredible My racoon: This is a *man*, you are a guy.

[@bharati6]

Math, I would have never resented you if I had a teacher like Eddie Woo!

[@madhavved2875]

7:00 that moment of realisation!

[@shanzanaveed5452]

You are genius sir and an amazing teacher.

[@MathProofsable]

Shouldn’t we teach that a function is not just a rule, but a rule equipped with an input type and output type? This can be visualized as a kind of factory, where we know what goes in and what should come out. This becomes important when you need to invert certain “functions”. The function sq: R -> R has no inverse, but sq+: R_+ -> R_+ does, namely the square root function sqrt: R_+ -> R_+. Also, this coincides better with the way a type theorist, computer scientist, and category theorist would think of a function.

[@zayyanmdeutschland]

But, how'll y^2 = x turn to when it's changed to y = sqrt(x)? Is it still a function when it turned to the other one?

[@themango494]

y = sqrt(x) becomes a function as the square root only returns the positive answer. So sqrt(4) will only return positive two, not negative two.

[@albaricoallan]

Why do use a verticsl line to check its points? Why not a horizontal line?

[@mondirapaul]

just wondering, is the circle centred at the origin because x = 0?

[@ti84satact12]

It's centered at the origin because the x and y coordinates are BOTH zero.

[@turoojramzan]

Sir you are amazing ☺️

[@KjetilVago]

Isn't it arbitrary whether you choose x or y to be your input or output.

[@DEFRz]

Yes, it is, but also it is assume that x is the input conventionally

[@sudarshanrathi7925]

hey sir please make a videeo on polar co ordinate system

[@ismireghal68]

I needed some time to seperate functions from graphs for me they were one because we only talked about functions when making graphs in school.

[@nk14781]

A function g( x,y) is defined as the two- digit number of the form 10x + y. Another function f(x,y,n) = xn +yn+1 is defined where x,y & n are positive integers and x,y ∈(0,9]. How many set of values are possible such that f(x,y,n) = g(x,y) . please solve this

[@tweety.-.]

optimization question, shouldn’t be too hard with pen, paper, and some basic derivatives

[@angelstarfire]

Thank you!

[@delektris3228]

Loving the fact they have The Map of Mathematics from Domain of Science above the whiteboard

[@hermanbonga6426]

please make your visual to be visible,its not clear

[@ahambramhashmi]

Nice,tricks

[@vksplanet]

Yaha dharmendra ji ke channel pe strike aya h aur tum yaha ho

[@shanzanaveed5452]

Sir please we also want your book the number ful world 🇵🇰

[@sergioh5515]

Who is he teaching? Pre-schoolers? Jk

[@LG-dm3ts]

14 year olds