Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other! Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!
Thank you. From a 33yo returning to college.....and I had the fantastic idea to go for Engineering/Applied Mathematics. All help, especially good help, is GREATLY appreciated.
I just wanted to say thank you so much for your videos! I am taking an online math course and have spent hours studying and reviewing my book and notes and was still having trouble understanding the information! But I watch your videos and it makes perfect since!
Great help!! I just started engineering school 10 years after graduating high school. Needed a refresher and your videos are great!! Thanks! Keep up the good work!!
Thank God for you.. I was struggling with math in high school but this channel helped a lot. I got into medschool and I’m almost graduating. Much appreciation
We watch these vids as our Calc notes, and then do the homework in class. :) Absolutely LOVE it! These are soooo easy to understand, and then when we do the work in class with the teacher there, I know what is going on, and I know what I need help on and need to ask about. :) Thanks soooo much for making these videos! Our entire Calculus class really appreciates them! :)
stefan adams lmfaooo na, i somewhat get it after watching it 3 times.. its a summer class on top of that so the pace is overwhelming -.- time for me to find another video on another topic for this test.. how did you on your test tho????
ImVenting I freaked out and got a 77... I was locked in a class box and they wouldn't let me pee :( I talked to the college and got Trans to an easier course... I'm retarded
Thank you so much! My teacher skipped over half the rules (ex: when to use greater than or equal to zero vs. just greater than) and I was so incredibly confused. I have a quiz tomorrow, but you're a lifesaver! I'm subscribing and will look at some of your other videos for reference! :)
I am pretty good when it comes to math in general. I really enjoy how you do your videos. I seems pretty straight forward. I enjoy being refreshed in Math.
Well, thank you... I have a math test on this stuff tomorrow for my precalc honors class and I've forgotten all algebra stuff... So thank you again, my teacher is do bad, but I can learn very quickly from your videos... Thank you again!!! :)
thank you so much xD i was having a hard time understanding this from our teacher because he doesnt really do it step by step. he just suddenly get the domain without solving it and showing how he did it.
Great video...I have a feeling, as time goes on, my list of questions, uncertainties will grow larger and my frustration only deeper, therefore I seek help. My first point is domain notation. For instance the following -1 < r < 1 Here "r" can sit in between -1 and 1, where these two number are not included, if I'm not mistaken. However if you would read this from left to right (usually the way the majority of people read sentences) you would read " -1 is smaller than r and r is smaller then 1"
Very! Very! Helpful. You explain everything in a way that makes it so easy and simple to understand. Im taking AP Calc AP Stat and AP physics this year and im going to use many of your videos to help me
@tasatful well, hosting videos is expensive. google/youtube is not going to do that for free. you can always find a subscription based service with no ads and pay to not see them.
@chloetan2912 you are using set notation, i think i use interval notation. it is all the same thing, perhaps just ask your teacher if they have a preferred notation for you to use.
Yes! Great refresher! Also, I love the brief summary at the very beginning of your videos. I hate having to watch an entire video for one small note in the middle.
@marwen05 he is looking for the value of x to exclude in the domain that makes the function undefined (can't divide by 0) which he extracts from the interval (-infinity,infinity) by splitting it up and putting a parenthesis next to 2 which means do not include in the interval.
Hello Patric..I'm a fan of Maths and I can't decribe how happy I am that I found ur videos. I just want to say that at minute 3:45 u can slove it with this formula: a*x^2+b*x+c=0 sloves x1/2={-b +- (b^2-4*a*c)^1/2} / (2*a) ..in our case is x1/2={-(-1) +-(1^2-4*1*(-6))^1/2} / 2*1 x1/2=(1+-5)/2 x1=(1+5)/2=6/2=3 and x2=(1-5)/2=-4/2=-2 I don't know if u knew it but with this formula u can slove every quadratic equation.
@staacyum well, you have to ask yourself: what restrictions are there for a cube root? can i cube root any number? (yes, you can). so here the only problem would be having zero, since it would be in the denominator.
Even though my mind is involved in Calculus 3, anticipating the study of Partial Differential Equations, it's good to get refreshers in the basics so to not forget where I came from. Thanks a million Pat! Or should I say in Math Talk, thanks infinity Pat?
Mr. Patrick i loved the way u explain maths n i wish to see u in a video with a complete pic of u i mean i can u do make a video on a board so that we can see who is the tutor Patrick ... thanx
@MrSmallANDLoud in set notation the "paranthesis" ) ,means "do not include" in the set and the "square bracket" ], means "include" in the set like in the 4th example around 6:15 , which says D: [1, infinity), which reads "the domain is the interval from 1 to infinity INCLUDING one, if it were D:(1, infinity) it would read the interval from 1 to infinity NOT INCLUDING 1. hope this helps. ps we gererally do not include infinity in our set notation of domain
My pre-algebra book gives less details on how to solve functions (and I mean its confusing.) So I had no choice but to see if you could help and you did. The book shows examples of Quadratic, Cubic, Absolute, Square Root and Reciprocal Function, but the point is that after they shows the examples, they don't make you practice a question like it, they scrambled it up like under the example for Reciprocal Function you will see an Absolute Function problem.
Whoa!!! This is Amazing i only watched your video for 3 minutes and learned how to do something that would've take 30 minutes in class. Thank you so much! I am now Subscribed to You!
So the example in Stewarts Calculus textbook asks: find the range of 1/2e^x-1. IT does so in the example without a mention of how it's done using algebra. Is the only way to find the range by graphing the function?
you are awesome man! i take calc and its the little stuff i forget how to do. so its super nice that you have compliments for complex stuff. I will be sure to reccomend you to my peers!
To put it simply if it is (x-3)(x+2)=0 in its factored form just set each of the expressions equal to zero and those are your values for x. So it would be x-3=0 and x+2=0. in turn we get x=3 and x=-2
Hey! That just made my life easy. I have my semester exams next month and I'm stuck in domain and range word problems. I'm facing problems while determining restricted domain and range of any function.
i think you've interchange it... in the square root thing about the power you cant have an odd power because that will give you an negative denominator but you can have an even power instead example: -3 x -3 x -3 = -27
There's an alternative way in that infinity thingy. In Pre calculus, this will work D: {x/x €R, x /= (not equal to) any #} in range... R: {y/y €R, y /= #}
Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!
You spent 12 minutes, and you taught me more than what my teacher could teach me in a semester, and for that thank you.
I know right. hahahhaa
i used to bore people in person but then i quit. now i only bore them via the internet.
Sounds like the school was the problem, you seem to be awesome!
LOL. You are pretty engaging here.
lol you r funny
Thank you!
Thank you. From a 33yo returning to college.....and I had the fantastic idea to go for Engineering/Applied Mathematics. All help, especially good help, is GREATLY appreciated.
I have a test in 1 hour. Thank you for clearing things up.
So how was that test that you took two years ago
Gustavo Alamilla lols
i want to know too
Rachel Munoz same
did you pass
I just wanted to say thank you so much for your videos! I am taking an online math course and have spent hours studying and reviewing my book and notes and was still having trouble understanding the information! But I watch your videos and it makes perfect since!
Great help!! I just started engineering school 10 years after graduating high school. Needed a refresher and your videos are great!! Thanks! Keep up the good work!!
Thank God for you.. I was struggling with math in high school but this channel helped a lot. I got into medschool and I’m almost graduating. Much appreciation
WoW... i came for your help last year in my calculus class and now i am back here for my engineering basic calculus. THANK YOU
Here I am in 2020 still watching these. Thank you!
I'm watching it rn lmao
We watch these vids as our Calc notes, and then do the homework in class. :) Absolutely LOVE it! These are soooo easy to understand, and then when we do the work in class with the teacher there, I know what is going on, and I know what I need help on and need to ask about. :) Thanks soooo much for making these videos! Our entire Calculus class really appreciates them! :)
I'm so fucked. I don't even understand this stuff and it's day 2 of college algebra.
ImVenting you're screwed. Withdraw
stefan adams lmfaooo na, i somewhat get it after watching it 3 times.. its a summer class on top of that so the pace is overwhelming -.-
time for me to find another video on another topic for this test.. how did you on your test tho????
ImVenting I freaked out and got a 77... I was locked in a class box and they wouldn't let me pee :(
I talked to the college and got Trans to an easier course... I'm retarded
william ortez I'm happy for you. I moved out from my drug addicted parents home in 8th grade. I kinda missed some things
+Flying Pig IKR lmao
You are so awesome for making these. I really appreciate all the help you have given me. Without you, I would not be passing any math classes.
THNX FOR BEING THE BEST TEACHER/TUTOR EVER!!! You've just helped another person with his Exam... ME!
A million thanks man, you explained what I tried to understand in 2 months in just 11 good minutes. I'm speechless, thanks a lot.
Man, just the first two minutes saved my life. This is better than what any math teacher ever taught me.
seriously this is absolutely saving me on my math test. i was lost in this class without these videos! THANK YOU
You sir are a lifesaver. A math god sent from the internet to help the mathematically challenged.
Thank you so much! My teacher skipped over half the rules (ex: when to use greater than or equal to zero vs. just greater than) and I was so incredibly confused. I have a quiz tomorrow, but you're a lifesaver! I'm subscribing and will look at some of your other videos for reference! :)
Thank you immensely you have helped me pass my Pre-Cal final and succeed in life as a result. And no need to appologise so much
I am pretty good when it comes to math in general. I really enjoy how you do your videos. I seems pretty straight forward. I enjoy being refreshed in Math.
Well, thank you... I have a math test on this stuff tomorrow for my precalc honors class and I've forgotten all algebra stuff... So thank you again, my teacher is do bad, but I can learn very quickly from your videos... Thank you again!!! :)
thank you so much xD i was having a hard time understanding this from our teacher because he doesnt really do it step by step. he just suddenly get the domain without solving it and showing how he did it.
Great video...I have a feeling, as time goes on, my list of questions, uncertainties will grow larger and my frustration only deeper, therefore I seek help.
My first point is domain notation. For instance the following -1 < r < 1 Here "r" can sit in between -1 and 1, where these two number are not included, if I'm not mistaken. However if you would read this from left to right (usually the way the majority of people read sentences) you would read " -1 is smaller than r and r is smaller then 1"
My teachers couldn't believe that I learned to do this in 11 minutes after they tried to teach me in 3 days. Thx man!
I've been searching for help on domain all week thanks you so much for making this video!
dude you're a beast. i have a college algebra test in a couple days and i plan to just watch your videos.
thanks for all your help. your the best math teacher on the internet so thank you very much
Man your videos are so good, that my calc teacher tells us to watch them. Thank you very much.
Very! Very! Helpful. You explain everything in a way that makes it so easy and simple to understand. Im taking AP Calc AP Stat and AP physics this year and im going to use many of your videos to help me
You NEED to become a math teacher! You are so much better than 95% of the teachers I've had.
@tasatful well, hosting videos is expensive. google/youtube is not going to do that for free. you can always find a subscription based service with no ads and pay to not see them.
Your videos are saving my grade in Pre Calc. My teacher isn't very good. Thanks!
@chloetan2912 you are using set notation, i think i use interval notation. it is all the same thing, perhaps just ask your teacher if they have a preferred notation for you to use.
Thank you for all these videos. I don't know what I would do without them
Yes! Great refresher! Also, I love the brief summary at the very beginning of your videos. I hate having to watch an entire video for one small note in the middle.
@marwen05 he is looking for the value of x to exclude in the domain that makes the function undefined (can't divide by 0) which he extracts from the interval (-infinity,infinity) by splitting it up and putting a parenthesis next to 2 which means do not include in the interval.
Thank you so much for making these videos on Domain and Range. I'm about to go take my college Calculus 1 final and I always forget how to do this.
You are seriously so amazing. My teacher can't teach and omg I understand it now. Thanks!
Thank You do much patrickJMT , my teachers dont teach as well as You, and this small videos make me understand instead of memorizing, thank You man
So far the best mathematics professor 🙏
I have final exam today!! and I'm very lucky that I found your videos. Thank you!!! :D
you sir are a champ for precal students everywhere
from morocco, i want to say thank u man thats very helpful tnx again
this video is going to help me on my calc quiz tomorrow thanks patrickJMT
Thanks a lot, cleared my confusion
Thank you. You just helped an aspiring Computer Science major!
Hello Patric..I'm a fan of Maths and I can't decribe how happy I am that I found ur videos. I just want to say that at minute 3:45 u can slove it with this formula: a*x^2+b*x+c=0 sloves x1/2={-b +- (b^2-4*a*c)^1/2} / (2*a) ..in our case is x1/2={-(-1) +-(1^2-4*1*(-6))^1/2} / 2*1 x1/2=(1+-5)/2 x1=(1+5)/2=6/2=3 and x2=(1-5)/2=-4/2=-2
I don't know if u knew it but with this formula u can slove every quadratic equation.
you are saving my college career. Bless your heart.
@genemalu well, to draw a pretty accurate graph you can use calculus. otherwise, u just gotta plot some points and/or think about the function!
@staacyum well, you have to ask yourself: what restrictions are there for a cube root? can i cube root any number? (yes, you can). so here the only problem would be having zero, since it would be in the denominator.
These videos of yours are extremely helpful. Thank you.
Thank you! This will be in my exam tomorrow and you just saved me!
Patrick you're helping me out very much and i want to thank you. My preCal teacher isn't very good so your tutorials are life saviors! Thank You! :D
Bless you. Test tomorrow and now i understand. The number lines helped so much. Thank you!
Even though my mind is involved in Calculus 3, anticipating the study of Partial Differential Equations, it's good to get refreshers in the basics so to not forget where I came from. Thanks a million Pat! Or should I say in Math Talk, thanks infinity Pat?
ur videos have been saving my life since 2016
time to be a supporter on Patreon! :)
thanks man you taught me more in 11 min than my professor taught me so far this semester
I was mesmerized by your perfect handwriting. Great video too. refreshed me for math150
Man you explain soooo well, I was wondering if you could give my teacher some lessons on practical teaching techniques lol
Mr. Patrick i loved the way u explain maths n i wish to see u in a video with a complete pic of u i mean i can u do make a video on a board so that we can see who is the tutor Patrick ... thanx
2:24 My reaction to this vid
Same man :0
:0
@MrSmallANDLoud in set notation the "paranthesis" ) ,means "do not include" in the set and the "square bracket" ], means "include" in the set like in the 4th example around 6:15 , which says D: [1, infinity), which reads "the domain is the interval from 1 to infinity INCLUDING one, if it were D:(1, infinity) it would read the interval from 1 to infinity NOT INCLUDING 1. hope this helps. ps we gererally do not include infinity in our set notation of domain
This literally gave me some ideas that I never thought would be possible. Nice vid
your far beyond what my teacher would taught me thank you
the infinity part use to make me go crazy! now its clear :) thanks to u!
Thank you! It's like a light is shining on my homework and I can finally understand it
O my goodness.. i have always had a problem understanding this topic... I get it now...thanx to you...thank you!!! thank you!!! thank you!!!
@staacyum well, you can have negative numbers under odd powered roots
thank you. You explain better that my college professor n my tutor...
Your videos really helped me out. Thanks for taking the time to put these together!
My pre-algebra book gives less details on how to solve functions (and I mean its confusing.) So I had no choice but to see if you could help and you did.
The book shows examples of Quadratic, Cubic, Absolute, Square Root and Reciprocal Function, but the point is that after they shows the examples, they don't make you practice a question like it, they scrambled it up like under the example for Reciprocal Function you will see an Absolute Function problem.
gonna get that A+ in pre calculus test tomorrow. Thanks for the Help!!!!
what
You're a disabled dunce
Are you still watching ....
Whoa!!! This is Amazing i only watched your video for 3 minutes and learned how to do something that would've take 30 minutes in class. Thank you so much! I am now Subscribed to You!
Dude, this video helped so much. Let's hope I can now do this on the test!
Got my GCSE maths in 3 hours, this helped so much!!!
So the example in Stewarts Calculus textbook asks: find the range of 1/2e^x-1. IT does so in the example without a mention of how it's done using algebra. Is the only way to find the range by graphing the function?
@RaeGlvr thanks, glad u like it
WOW! I usually don't comment on videos, but this video changed my life, thank you so much.
Dude..... You prolly just mad my grade go up. cant thank you enough man
you are awesome man! i take calc and its the little stuff i forget how to do. so its super nice that you have compliments for complex stuff. I will be sure to reccomend you to my peers!
the range of the f(x) is the domain of the inverse function.
so find the range of the original
How i wish you were my math teacher. my classmates would love the way you teach. (:
Dude this guy is a BOSS!!! way better explained then my teacher@ i love you bro your great!
@mike3177 thanks for letting me know! i am trying to make sure there are no ads in the middle of any of the videos!
Thank you so much.Love from Malaysia.
thank you so much for those examples. its really helpful.
To put it simply if it is (x-3)(x+2)=0 in its factored form just set each of the expressions equal to zero and those are your values for x. So it would be x-3=0 and x+2=0. in turn we get x=3 and x=-2
Hey! That just made my life easy. I have my semester exams next month and I'm stuck in domain and range word problems. I'm facing problems while determining restricted domain and range of any function.
Very helpful, I'm hoping to major in History of Mathematics when I go to college in a couple years.
thanks this is sooo helpful, i was completely lost in class when we went over this. your videos are lifesavers:))
thanks for signing up to help me pass calc this semester
i think you've interchange it... in the square root thing about the power you cant have an odd power because that will give you an negative denominator but you can have an even power instead example: -3 x -3 x -3 = -27
thanks , your 10 mints video explained domain very well
A bracket is used when a value can be great than or equal or less than or equal. Put simply, if you have an answer that is a result similar to this x
There is a restriction for x^2+4 =/= 0 in the denominator. By taking the square root to -4 you get 2i.
There's an alternative way in that infinity thingy. In Pre calculus, this will work
D: {x/x €R, x /= (not equal to) any #}
in range...
R: {y/y €R, y /= #}
You made it so simple... Thank you!
Your handwriting is gorgeous!