Back to Algebra: What are Functions?

That's enough with shapes, let's get back to equations and variables! I know you've missed it so. Jumping back into algebra, the first thing we want to do is understand what a function is, as this will be the main algebraic construct we concern ourselves with from now on. Let's learn what a function is, and what we can do with them.

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[terukun]

I'm on my third day reviewing math from the basics until this episode and everything has been a smooth sailing journey thanks to Professor Dave. He explains everything crystal clear and I swear to god, his organized playlist of math video lessons is the best thing that you could find out there for learning mathematics and it will definitely guide you into fully knowing the basics and other info you missed out on or have already forgotten during your high school years (or lower grade level years) of studying mathematics. Dave, I wanna give you a big big hug and a big big thank for creating these contents! They were very helpful to me, especially during this time when I will soon be taking college entrance exams. Once again, thank you soooo much! And I wish that more people would come to this wonderful and helpful channel! <3

[ahnafalnafis]

I was pretty dumb at Mathematics. My friends sometime laughed for it. In high school, I was getting worst marks in Math. I found out where was my problem and it was in foundation. Then I looked up into YouTube so that I can find a tutorial or course where from I can learn the basics of Math and then head to advanced concepts. Then I found this genius' channel. First, I thought that it'd be a simple tutorial like we always find in YouTube. But I started to follow this series and I'm glad for that. I found an elegant beauty in Mathematics and started to love it. Math seemed interesting than ever!!! I also started to get better marks in Mathematics! I don't know how I can thank you. Thank you much for making such contents for us!!

[zarachauvin]

Oh my gosh I'd looked at so many other videos and none helped but this made me get it right away! Thank you so much - so well explained

[tdreamgmail]

This is so good. I think if Dave was teaching you math you’d graduate in half the normal time.

[nalaroe]

I love that function machine! It's so satisfying watching everything roll into it and come out converted on the other side! 😃

[VCTRc]

I'm sure you've heard this quite a few times already, but this video just cleared up almost ALL of my confusion about functions. For some reason, I just could never understand the explanation provided by Time4Learning. THANK YOU PROFESSOR DAVE!

[Ranbo]

Love this guy. Unlike some "teachers" he doesn't assume you already know what he's talking about.

[ryanjamesconiendo]

Thanks professor Dave as always. . I've watched explanations about functions, yours is the most comprehensible 💪 with a great animation and examples as always

[farhanahmed]

First like! I wonder which heathen left a dislike as soon as the video was uploaded. Anyways, make sure that you do Pharmacology soon, Professor! Cheers!

[Electodiminuendonulecresedo]

Dave, not hyfuluten(spell wrong), becouse i find out that chinese cousese are not as clear as you do, i learnt English!you are a good teacher😇

[zilog]

This made my computer programming class so much easier to understand :p

thanks

[atashidey]

but the square root function yields negative and positive values, is f(x) = sqrt(x) not a function then ?

[satyamc]

Sir make a video on function for class 12 based on indian school and iit jee

[PasionDeArgentina]

At 6:15, shouldn't it be zero, following Bodmas, we will have addition first (10+2), and then Subtraction, 12-12, yielding zero ?

[jose_w]

Hey, Dave, would you consider f(x) = √x a function? I've been watching some of the videos on your Math playlist, which have been coming in handy for my studies, and it caught my eye that f(x) = √x appears as a function when I google it, even though you've shown us in the video about square roots that √9 = ±3. What's up with that?

[hasibulalamprionto]

we've come so far but still didn't get any lecture about our most renowned formula of algebra: (a+b)^2=a^2+b^2+2ab

[thejackal]

So this is like a function computer programming. Interesting.

[lucasthompson]

Chicago (original Macintosh menu font) lives!

[pinklady]

I have learned "what is not a function."