Using the Vertical Line Test (Precalculus - College Algebra 6)

How and Why the Vertical Line Test works to determine functionality.

[Goldenblade]

You teach me precalculus concepts better than any of my precalc or calc teachers could teach it.

[ForAudaciousLiving]

Holy Cow. My advisor set me up with an online precalc class, and there is no teaching. there is very little contact or videos or anything. these videos are saving my life when it comes to midterms. I'm learning it and its incredibly less frustrating. thank you!!

[sebastiancrawford]

This is unfair. I shouldn't be paying my school $1500 for this course when I'm learning it all from Professor Leonard.

[michele]

Hi professor Leonard, I am an Italian Ingenieur, never had a so clear and enthusiastic professor in my entire carrier, you are far better than the best of them. I am studying again all calculus 1-2 from your videos, I hope you will add with time an enormous amount of videos and covering the state of the art of the entire mathematic, humanity would be thankful for ever :). Thank you very much Professor.

[inesfitipaldi-bervejillo]

Thank you for being such an amazing instructor, I've dealt with math insecurities my entire life but with how you explain things and empathize with your audience has literally made all the difference. Thank you for all that you do!

[Evog-qigc]

Forgot to greet you yesterday.. Belated happy teacher’s day professor Leonard! I watch your videos wheneve I review for calc 1. Thank you for all these videos really helped alot of people!

[khalilh]

YOU’RE DOING A GREAT JOB!! When are you doing a LINEAR ALGEBRA playlist?

[georgesadler]

Professor Leonard, thank you for demonstrating the Vertical Line Test and its overall function and nonfunction analysis.

[mattdrafted]

Thanks for the

videos. My son learn a lot from your lectures in Intermediate Algebra. We were hoping the Precalculus lecture can be a longer. Thank you again !!

[wanyangqiao]

Thanks Leonard, I haven't study math for five years. Your contents makes me start to remember what I've learn in the past. Thank you

[hassanlaghbi]

Greetings to the greatest math teacher on Earth.

[nathang]

Thank you Professor Leonard! This series is exactly what I needed. Much respect from Australia :)

[huyluong]

Please sir, can you start the LINEAR ALGEBRA course SOONER than your plan? When I started to watch your video, i dont want to watch somebody else's lecture anymore. You are an amazing teacher. Thank you!!!

[_Anna_Nass_]

Thank you for making quality content, YouTube teachers have become indispensable in COVID times.

[Theoneandonlyable]

Keep doing Precalculus videos, please! They're great and will be helpful when I take the course next semester.

[Don_Deppresso]

That last graph caught me by surprise

We already discussed this is class so I thought I already knew, glad I watched this video

[busrraengin]

Thank you for the explanation, Professor Leonard; it was super helpful.

[tlhomotsemoteme]

It feels great to be the first one to like your video(s) and comment. You are just amazing.

[polkadot]

Finally a math concept I ActUaLY understand

[mercantilism]

why do his videos have only 5-20k views? He deserves hundreds of thousands of views.