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Functions in a Nutshell: GRE and GMAT Math

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The Tested Tutor

The Tested Tutor

Күн бұрын

The ultimate Functions tutorial, especially for GRE and GMAT Math, but also for A-levels etc. I will cover composite functions, the definition of functions, multiple functions, conditional functions, and domain.
Using official practice test function questions, I will test out the concepts being taught with real-life examples. I will also do a really difficult question to finish.
GRE and GMAT are two of most used graduate exams for those seeking to study a Masters Degree or Masters in Business Administration (MBA) degree. The Graduate Record Exam and Graduate Management Admissions Test have been taken for over 50 years and are taken by approximately 600,000 and 300,000 people worldwide annually, respectively. These exams are typically taken between the ages of 18-40, by those who have completed, or are about to complete, their Bachelors Degree.
Enquiries: philip@gretutorlondon.com
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: www.gretutorlo...
Enquiries: philip@gretutorlondon.com If you’re now ready to get into your dream MBA program, my former student, Angel, is offering virtual private Admissions coaching. She was admitted into Harvard Business School, The Wharton School of Business, and Columbia Business School (accepted into every school she interviewed for) after graduating from UCLA with a degree in Communication. She also got 3 perfect scores on the GRE’s Analytical Writing Assessment (99th percentile).
Here is her link - linktr.ee/ange... - and you can reach her at angellinzhu@gmail.com with the subject line, “PHILIP SENT ME.”

Пікірлер: 114
@dipthyanchan6510
@dipthyanchan6510 3 жыл бұрын
U make me like math... i dreaded it all these years... wish I had a teacher like u teaching math in school👏🏼👏🏼👏🏼👏🏼❤️
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
What a lovely comment Dipthy :) keep em coming
@vaidehipatel4159
@vaidehipatel4159 2 ай бұрын
God knew I would be too powerful if I had math teacher like you in school
@ashmitabanerjee
@ashmitabanerjee 3 жыл бұрын
Hi Philip, I love how make difficult concepts so easy to grasp. Your channel has been my most valued resource for my GRE prep, however I found a less time consuming way of solving the last problem by compiling everything I have learnt from you so far. Hope you don't mind me sharing here. Plugging a and b in f(x) in the two different cases of f(x), we can see f(a) = a+ 1 and f(b) = b-1 and if we want to satisfy the given condition i.e f(a) + f(b) = a + b, adding a+1 and b-1 we can see that the -1 and +1 gets cancelled. This means our original assumption of plugging a in one case and b in the other is correct. Thus by the rule that states even + odd is odd, we get option C.
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Great method Ashmita, thank you. And thank you for your kind comment.
@maishamubassara4612
@maishamubassara4612 4 жыл бұрын
Thanks Philip, for making difficult stuff that easy. Would like to have one on hard inequalities and absolute values.
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
I will defo get to those soon. Thanks Maisha
@maggieznoodles
@maggieznoodles 4 жыл бұрын
when is your exam?
@pricklypearcacto5999
@pricklypearcacto5999 3 жыл бұрын
Liked the first video that I watched so much that I start each practice session with your videos now
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Great to hear prickly fruit
@kolawolesamsonimoleayo1144
@kolawolesamsonimoleayo1144 3 жыл бұрын
You are indeed a genius, God bless u for making, maths as simple as a,b,c
@ananya9356
@ananya9356 2 жыл бұрын
Thank you for this video, I've been struggling with functions for so long but you made it easy.
@prikhjo3181
@prikhjo3181 3 жыл бұрын
I'm so bummed that I found your channel literally a day before my GMAT. If only I'd have found it sooner, all those function questions that seemed like alien particles floating in the air, wouldn't have felt so daunting. Well, I'm glad that I found your channel. Post my test, I'm going to go through your content anyway and apply the understanding again for my retest. THANK YOU!! P.S: I never comment on YT (this is my first ever comment). I couldn't help but applaud you for your effort to make this seem effortless.
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
What a lovely comment Priyanka. Thank you for leaving your first ever one. It means a lot. :)
@ihuomaokoro-ebi3837
@ihuomaokoro-ebi3837 3 жыл бұрын
Each video gives me so much joy
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
😀
@jeanvilbertpereira9233
@jeanvilbertpereira9233 2 жыл бұрын
Amazing video. I just found backsolving kind of hard (especially for a non-math guy like me). What I did: I factored the function beforehand: f(x) = x^2 + x --> x^2 + x - 30 = 0 --> (x - 5) (x + 6) = 0. Then I plug in 2t top get (2t - 5) (2t + 6) = 0. Now it's super easy to see that t = -3 or t = 5/2.
@upashanabhattarai2507
@upashanabhattarai2507 4 жыл бұрын
You have no idea how simple and interesting you are making my preparation. Thank you so much for uploading such wonderful content.
@1327
@1327 2 жыл бұрын
the best online teacher
@giselemello6503
@giselemello6503 3 жыл бұрын
I was avoiding studying function because it seemed confusing before. But after the explanations, I could even solve the problems alone. 🙌🏾 Thank you so much!
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
So glad to hear Gisele!
@Abhishek-fe3zs
@Abhishek-fe3zs Жыл бұрын
For the last question, I deduced that if a is even, b has to be odd. And so only option c can be correct. At first I was confused about what to do but your rule about always substituting the number inside the function in place of the default variable really helped. f(a) + f(b) will only be a + b, if it's a-1+b+1 or a+1+b-1.
@myAgentHQ
@myAgentHQ 2 жыл бұрын
Excellent content. You explained that incredibly well. Thanks.
@Jay-lq8ly
@Jay-lq8ly 4 жыл бұрын
your explanations are saving me
@hassaanraza1090
@hassaanraza1090 4 жыл бұрын
You're awesome man, thoroughly enjoying these videos for the past few days.
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks so much, enjoy!
@ishanbaral3765
@ishanbaral3765 3 жыл бұрын
Thanks Philip , I have been grinding all your videos , I have GRE on sept 23 , wish me luck :(
@shubhrahalder25june
@shubhrahalder25june 3 жыл бұрын
Sir functions were giving me nightmares! I got the concept after watching your video!!! God bless you!!
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Happy to help
@gravelcandy7076
@gravelcandy7076 Жыл бұрын
god bless youu thanks a ton for all these concept explanations
@kepler3570
@kepler3570 4 жыл бұрын
Nice. Thanks for the video
@md.iftekharislam8985
@md.iftekharislam8985 4 жыл бұрын
your videos helps me a lot to overcome my weak points thanks a lot buddy
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Happy to help
@bhavnanarayanan583
@bhavnanarayanan583 3 жыл бұрын
Hello Philip, I like the video, but I think for question 23- it is using laws of Even and Odd Numbers (even + odd = odd), hence the answer is 3. No need to plug in numbers.
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Nice! That works too yes Bhavna.
@bhavnanarayanan583
@bhavnanarayanan583 3 жыл бұрын
@@TheTestedTutor I used your videos recently, they’re very good ! I had to take the GRE for my licensure, so thank you so much 😊
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
@@bhavnanarayanan583 Thanks bhavna, hope you got it.
@alphawolf9990
@alphawolf9990 4 жыл бұрын
Hi Phillip, I just gave my GRE Today. Got Q164, V145. I know verbal score is very low but I couldn't get proper sleep as my flight was delayed ( I had to travel to other state for this exam). Anyways thought of letting u knw as Quants went from 156 to 164. Thanks a lot!
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Well done Alpha! Am proud! Stick with the channel as I move into finance videos...
@alphawolf9990
@alphawolf9990 4 жыл бұрын
@@TheTestedTutor I will.
@prajwalbadole4900
@prajwalbadole4900 Жыл бұрын
Such a helpful video this guy deserves all the views
@hamzazwairy7075
@hamzazwairy7075 3 жыл бұрын
Okay, first of all I only found out about your channel 2 days ago, sadly. Secondly, I love you man, I did the GRE previously but I only had 1 week so I did not do as well as needed on it but now i have around 2-3 weeks max left ( already started studying 1 week ago ) and so far your channel is the best resource to study QUANT from. I have one question though, if I only go through the videos ( by grouping them into arithmetic , algebra, geomtry and data analysis ) and just go and try to pick up training questions from various websites like ETS, greprep club etc.. will that be enough or do you think there are some topics/sections that needs more covering ? for example the geomtry section .. I have trust issues on those, is everything about their formulas, rules, shortcuts, etc.. in here ? Once again you are a legend
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
You need to watch all my quant stuff and also do lots of extra, I have not covered every topic/trick yet. Hopefully in the coming months I will.
@caileystephens7273
@caileystephens7273 3 жыл бұрын
I really appreciate these videos to help me improve in math for the GRE! Great reviews!
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Happy to help Cailey!
@parasgarg-ix9ik
@parasgarg-ix9ik 6 ай бұрын
Thank you so much!
@Tilmaamaha_Caafimaadka
@Tilmaamaha_Caafimaadka 4 жыл бұрын
Thank you for your dedicated videos. This has been so helpful.
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks Hassan!
@sufyanali7686
@sufyanali7686 4 жыл бұрын
Thank you very much Philip...
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks for the comment...
@shivangishukla9674
@shivangishukla9674 4 жыл бұрын
great job explaining. one of the best
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Thank you so much Shivangi
@ashwintaksh
@ashwintaksh 3 жыл бұрын
Love your videos Philip 🌈🙌
@shpendimaskuli1932
@shpendimaskuli1932 2 жыл бұрын
So helpful man, thank you loads
@laudakabc
@laudakabc 2 жыл бұрын
its a good video and the tips just makes it better ⚡
@selma5808
@selma5808 3 жыл бұрын
Thank you so much for this video. I was stuck at this concept for a few days but you really helped me understand it. You even made the last question seem so simple! I am actually beginning to enjoy math now :)
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
That's great to hear! Math is amazing
@mansib2228
@mansib2228 4 жыл бұрын
Thank you Philip.. I came home from work and found you had posted this.. Really appreciate for making the video.. Request u to make one on inequalities as have been suffering with the concepts there!!
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Worked so hard to get this done for you! Hope it helped.
@mansib2228
@mansib2228 4 жыл бұрын
Getting ready to watch and work with it now... Thanks a ton!
@mansib2228
@mansib2228 4 жыл бұрын
Function is no longer my Achilles heel! Was able to work out the crazy hard question as well!!
@maggieznoodles
@maggieznoodles 4 жыл бұрын
when is your exam, Mansi?
@mansib2228
@mansib2228 4 жыл бұрын
@@maggieznoodles it is on February 8, 2020
@ibukunoyeleke1470
@ibukunoyeleke1470 Жыл бұрын
Thank you, Philip!
@leebarker3487
@leebarker3487 3 жыл бұрын
Another fantastic video, thanks mate!
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Thanks again!
@shibanisabnis790
@shibanisabnis790 3 жыл бұрын
Thank you. These videos really help me :)
@hansiwelangoda1895
@hansiwelangoda1895 3 жыл бұрын
Thank you very much Philip for making me good at maths 🤩
@adityaprakash7983
@adityaprakash7983 2 жыл бұрын
great video
@boop53
@boop53 4 жыл бұрын
Helped me lots with understanding functions, great video
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks Ice!
@talhamajeed1805
@talhamajeed1805 2 жыл бұрын
Great job👍
@nikhillalwani5679
@nikhillalwani5679 4 жыл бұрын
Great video buddy ! Made this topic relatively simple for me. Go ahead with different chapters if you find time. Thanks a lot !
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks Nikhil!
@SISANHLABATHI
@SISANHLABATHI 14 күн бұрын
There is light at the end of the channel.
@nikitachaudhari9167
@nikitachaudhari9167 4 жыл бұрын
Hey Philip, could you please make video on Sequences (AP & GP) word problems? I learnt all concepts from your videos really really very good explanation . Thank You :) !!
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Yes that is on my list...
@ranveerchavan3439
@ranveerchavan3439 2 жыл бұрын
amazing
@vidhigadhiya8202
@vidhigadhiya8202 3 жыл бұрын
This really helped!
@indian_scouser_ynwa
@indian_scouser_ynwa 4 жыл бұрын
Thanks a ton, great video!
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks so much! You have been a loyal subscriber!
@universal4334
@universal4334 4 жыл бұрын
ton isn't enough for Philip
@habeebadegboye5338
@habeebadegboye5338 9 ай бұрын
Thanks for your efforts
@artwithrekha9615
@artwithrekha9615 2 жыл бұрын
Thank you❤❤❤
@pranayakgautam8972
@pranayakgautam8972 3 жыл бұрын
not sure if this is right but this is how I got the answer for the last one. solution- I replaced x with a and b respectively. so f(a) + f(b) = a+b by trial and error, a+1+b+1 = a+b+2 (so not true) a-1+b-1= a+b-2 (so not true again) a-1+b+1= a+b (so works) hence one has to be odd and one has to be even
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Nice
@drvalenpori
@drvalenpori 3 жыл бұрын
thanks:)
@bradleygoronson9698
@bradleygoronson9698 4 жыл бұрын
Great video as always!
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
I appreciate that
@manjosonstrike159
@manjosonstrike159 Жыл бұрын
Man, u r amazing!!
@narayankhanal9662
@narayankhanal9662 Жыл бұрын
Great!
@rachelparagshorts
@rachelparagshorts 3 жыл бұрын
Sir i didnt understand domain .. the last one .. how 4 is calculated?
@seim9710
@seim9710 Жыл бұрын
If you fill in both odd numbers in question 23, it also works out doesn't it? So for example 7-1 = 6 and 9+1 is 10. 6+ 10 is 16 and 7 + 9 is also 16. And it this case A + B is not Odd but even. So to me the correct answer seems to be E. What I am I getting wrong here?
@avnishtayal7038
@avnishtayal7038 4 жыл бұрын
Hello Sir, I have been following your videos and I have felt more comfortable in understanding the concepts. Thank you sir. I wanted to ask you where can I take a diagnostic test which will help me discover where I stand?
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Ets powerprep ones are great
@Manish-uk2ow
@Manish-uk2ow 2 жыл бұрын
Tell me philip, what is the difficulty of quants level for UG student of math major?
@ssam_v9904
@ssam_v9904 4 жыл бұрын
Do you have any GRE test book recommendations? Like you suggested in your first video, I'd like to take 10 sit down GRE tests before the actual exam. I'm about to start studying for it and I'm finding your videos very helpful:) I'm very interested in knowing which books you trust.
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks ssam. I find Manhattan 5lb book very good but a little hard. If you can do that plus the Official Guides, that is best.
@ssam_v9904
@ssam_v9904 4 жыл бұрын
@@TheTestedTutor Wonderful:) Thank you x100!
@aidateklemariam177
@aidateklemariam177 4 жыл бұрын
Thanks, Philip! Question for the ax + by + c equation practice problem at end; I got -6x + 30 - 7y - the reciprocal. What is the reason you subtracted 6x + 30 from 7y rather than subtracting 7y by 6x + 30?
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Can't see that question...
@DemiCat573
@DemiCat573 9 ай бұрын
the 5lb book is much harder than that first example u showed that u said is one of the hard ones seen on the GRE so idk I am just confused
@cardiyansane1414
@cardiyansane1414 3 жыл бұрын
Got 1st hard example wrong, I substituted the original function into f(2t)=30 instead of the other way round..but i got the extreme example right ..oh well
@pepekale9182
@pepekale9182 2 жыл бұрын
7:48 I replaced (P)=7 and got -9...big mistake f(p) =7 not P =7 ! these functions topic is indeed hard level, it is so abstract. I have also heard of terms like domain, origin under this topic. ofcource I do not understand
@minvithaalahari1107
@minvithaalahari1107 3 жыл бұрын
what is the solution of last question
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
Domain x is greater or equal to 4
@SudiptoBanerjee98academic
@SudiptoBanerjee98academic 6 ай бұрын
@maggieznoodles
@maggieznoodles 4 жыл бұрын
wunderbar
@TheTestedTutor
@TheTestedTutor 4 жыл бұрын
Thanks again maggie!
@favourchinda2991
@favourchinda2991 11 ай бұрын
Back solving
@michelleceline8655
@michelleceline8655 2 жыл бұрын
Thank you so much!
@TheHerothief
@TheHerothief 3 жыл бұрын
Thank you so much!
@TheTestedTutor
@TheTestedTutor 3 жыл бұрын
You're welcome!
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