Graphs You Must Know (Precalculus - College Algebra 13)

A study of the library of functions used to do transformations. Key points, Increasing/Decreasing, Domain, and Range, Even/Odd included.

[anim]

U could really connect to people who are slow in maths. It's wonderful how you simplify and emphasize on the key points. Deep respect for you sir.

[Fazal]

I'm in calculus 3 and this video is still VERY relevant. I never learned (or was even taught) any of this in the TWO PreCalc classes I took and it really came back to bite me during Calc 1 and 2. Thanks, Professor!

[aypeezy]

i feel like you have to really like math to be able to explain it as well and effortlessly as this guy does and i appreciate that detail so much

[VarunVishwakarma]

In INDIA we call Guru to a teacher, We touch their feet to give respect. Every time I see your video It simply comes from my heart to touch your feet. That has never happened to me throughout my life. You are simply amazing. I had a feer of Mathematics. Now it's gone. Thank you.

[proteopathy]

I am now in my junior year in electrical engineering but I still watch your videos to keep me fresh. You are a gentleman and a scholar, truly. Thank you so much.

[taekwondotime]

*Handy tip:* The curve on the graph will bend one time less than the exponent in the function.
x^1: Doesn't bend at all. Straight line.
x^2: Bends once.
x^3: Bends twice.
x^4: Bends three times.
x^5: Bends four times.
And so on.... :)

[Dontworryboutit]

Love your videos. Please do a series on linear algebra. My Soul will thank you for eternity. Love you prof!

[imanabu]

when I finish college I will be owing those youtube supermen and superwomen a lot! you saved me in high school and you are saving me again right now. I wish you get what want in life just like you allowed us to get what we wish by these videos <3

[OctoberMorningRain]

Thank you for actually explaining why the graphs are shaped the way that they are. This was not explained to me while taking college algebra. Now I am better prepared for calculus.

[georgesadler]

Professor Leonard, this lecture analyzes the graphs that all students in science and engineering students should know. Students should have a deep understanding of these graphs and their impact in mathematics.

[tmann]

I’ve been very appreciative how much work you put into this. I’m review my pre calc before this fall semester. I have calc 3 and Modern diff eqs. Kinda crazy haha thank you once again

[socialonly]

Using all the best, positive and wonderful from the dictionary won't be enough, I can just say that I'am and will be grateful for ever. Thank you Professor Leonard, may GOD bless you and all that you love and care about.

[Stephenc]

You are amazing. Im back in school right now at the age of 31. Your channel is the only reason im not completely lost (because my professor is very bad 😢). Thank you so much. I can't thank you enough.

[rachelleb]

You are a lifesaver! I feel like a genius listening to you!

[ephraimcabiliza]

Thank you once again Professor Leonard. You are phenomenal

[letsbehappier]

Thank you so much! pls never stop posting!!!!

[Dontworryboutit]

DEAR PROFESSOR LEONARD, YOUR VIDEOS HAVE HELPED ME GET THROUGH HIGH SCHOOL AND COLLEGE. I’VE JUST STARTED LINEAR ALGEBRA AND I’M STRUGGLING GREATLY. THE TEXTBOOK IS ASKING ME ABOUT QUESTIONS THAT IT DIDN’T EVEN DO ANY SAMPLE QUESTIONS ON. PLEASE DO A SERIES ON..

INTRO TO SYSTEM OF LINEAR EQUATIONS. I NEED HELP WITH FINDING SOLUTION SET OF EQUATION(S) WITH MULTI-VARIABLE EQUATIONS SUCH AS ** x - 2y + 3z = 5** etc

[BrainGainzOfficial]

Quality lookin' sharp! What kind of camera do you use?

[narutorock]

Thank you king! I have hope for myself in college algebra now 😭😭😭

[narendraarya]

thanks a lot sir .
u r helping masses in learning mathematics.