What Is a Function? | Precalculus

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What Is a Function? | Precalculus

Рет қаралды 252,551

Күн бұрын

This math video tutorial explains what a function is. It is a special relation where there is exactly one output for every input. This video explains how to evaluate a function and how to determine if a graph represents a function using the vertical line test.
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_______________________________________________________________________________________________
Algebra For Beginners: • Algebra For Beginners ...
Algebra 1 Review Study Guide: • Algebra 1 Review Study...
Algebra Final Exam Review: • Algebra Final Exam Review
Pre-Calculus Final Exam Review: • Precalculus Final Exam...
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Introduction to Functions: • Functions - Vertical L...
Evaluating Functions: • Evaluating Functions -...
Function Operations: • Function Operations
Increasing and Decreasing Functions: • Increasing and Decreas...
Relative Maximum and Minimum Values: • Identifying The Relati...
Relations and Functions: • Relations and Function...
Domain and Range From a Graph: • Domain and Range of a ...
How To Find The Domain of a Function: • How To Find The Domain...
Average Rate of Change of a Function: • Average Rate of Change...
The Difference Quotient of a Function: • Difference Quotient
Evaluating Piecewise Functions: • Evaluating Piecewise F...
Graphing Piecewise Functions: • Graphing Piecewise Fun...
Composite Functions: • Composite Functions
How To Evaluate Composite Functions: • How To Evaluate Compos...
Evaluating Composite Functions - Data Table: • How To Evaluate Compos...
Composition of 3 Functions With Data Table: • Composition of Three F...
Decomposing Functions: • Decomposing Functions ...
Introduction to Inverse Functions: • Introduction to Invers...
How To Find The Inverse of a Function: • How To Find The Invers...
Verifying Inverse Functions: • Verifying Inverse Func...
Horizontal Line Test - One to One Functions: • Horizontal Line Test a...
Vertical Line Test: • Vertical Line Test
Graphing Inverse Functions: • Graphing Inverse Funct...
Composite Functions and Inverse Functions: • Composite Functions an...
Even and Odd Functions: • Even, Odd, or Neither ...
Transformations of Functions: • Transformations of Fun...
Linear Functions: • Linear Functions
The Weird Graph of Y = X^X: • The Weird Graph of y =...
Functions and Graphs - Practice Problems: • Functions and Graphs |...
Functions - Test Review: • Functions
______________________________________________________________________________________________
Logarithms Practice Problems: • Logarithms - Practice ...
Writing Equations of Ellipses: • Writing Equations of E...
Hyperbolas - Conic Sections: • Hyperbolas - Conic Sec...
Arithmetic Sequences: • Arithmetic Sequences a...
Geometric Sequences: • Geometric Series and G...
Probability - Basic Intro: • Introduction to Probab...
Intro to Statistics: • Introduction to Statis...

Пікірлер: 111

@TheOrganicChemistryTutor Жыл бұрын

Functions and Graphs: kzfaq.info/get/bejne/kLp1qZuA063FqKM.html Transformations of Functions: kzfaq.info/get/bejne/qt-Bf9Nn3ZOrn4k.html Graphing Polynomial Functions: kzfaq.info/get/bejne/qLV_mMmV1rPapHU.html Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzfaq.info/get/bejne/ft9-nMiQtb_Lo40.html

@dgangs18 Жыл бұрын

I will by 40 year old this year,, and all these 40 years I was in guilt that I lacked the Basics. This has nothing to do with me now, but I still watch and practice your videos and try to be better thinking that I am back to school. Thank you so much. You are doing a great work here.

@technicallyyogi5123 3 жыл бұрын

I literally cried seriously becoz his teaching was so clear and I know the basic for12 th grade so i am still doing my 11th amd 12th combine to study becoz i literally lost 11th becoz of COVid so I am learning. I am from india

@nivedhamohan6390 Жыл бұрын

Bruh I am just 9th

@Vector_theory Жыл бұрын

same here@@nivedhamohan6390

@Shincikin 11 ай бұрын

Iam 9th to

@subhashinijkp 11 ай бұрын

chill bro 😎

@cat-des650 4 ай бұрын

11th new

@misguidedmiscreants547 3 жыл бұрын

TOCT: "A function is a relationship. A special kind of relationship....." Me: 😍💕awww how sweet💘💕

@mainlyanassassin4950 3 жыл бұрын

no.

@straight1080 2 жыл бұрын

@@mainlyanassassin4950 no.

@Menzi_95 2 жыл бұрын

no.

@Fishylocker 4 ай бұрын

nom nom

@ANedits-rc1je 25 күн бұрын

wtf

@101falcon 2 жыл бұрын

It's been years since I took this and completely forgot how to read functions properly. Thanks for the super clear refresher 😊

@WinkyDinKdink 4 жыл бұрын

I love this channel! Keep doing what you're doing because you're helping so many. keep it up :D

@PeachyKeenMaureen 3 жыл бұрын

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@tajuoni8854 4 жыл бұрын

Thank you Mr JG.You're indeed a life saver.Continue with your good work.May God reward you sir

@miaash3870 3 жыл бұрын

Maths teachers ought to watch your videos to learn how to teach!

@thek4lqueen 2 жыл бұрын

I've watched allot of videos for hours and they were all confusing this is the only one that helped! THANK YOU🙏🏽🙂!

@blessinghairworld 2 жыл бұрын

I don't even bother checking other videos any more 🥰 I'm literally in love with all your teachings. God bless you sir 🙏🙇

@Snow-ej5fm Жыл бұрын

u a real one organic chemistry tutor 🙏

@asterixboy3011 3 жыл бұрын

Finally I found this. Saved my life. Thank you. Keep Growing.

@georgesadler7830 2 жыл бұрын

MR. Organic Chemistry Tutor, thank you for a smooth and beautiful definition of a Function.

@Fam98KK 9 ай бұрын

4:10 no matter how much my teacher tired, i didn't understand sh8t but Your vertical line method saved me

@jaydevsingh4811 4 жыл бұрын

Love from India You will rock here Just wait and watch

@deborahmuoki8464 2 жыл бұрын

Finally 😭😭😭...I eventually got easy-to-understand-explanation .Thank you soo soo Much🤩

@unknownuser6757 4 ай бұрын

Not in school. I just like math

@technocrafts7443 3 ай бұрын

U r crazy 🤪

@freeman10000 Ай бұрын

I like maths too

@jiadotsomething Жыл бұрын

I’m in 9th grade and we haven’t done this in school yet . So I literally don’t have a teacher to teach me this but because of how amazing this video is I instantly grabbed the concept

@teamf4xhades379 8 ай бұрын

Same here

@jarediannudalo6074 3 жыл бұрын

thanks to this I was able to help my sibling on his online class

@sanopann1896 9 ай бұрын

the only way to help this guy back is to watch the ads that popping out on his video

@a3avd_ Жыл бұрын

he's teaching is so smooth and clean that i literally cried by watching this

@yolandasession8158 2 жыл бұрын

This is one of the simplest I’ve seen thank you . Currently studying math

@mosesmuturi1694 2 жыл бұрын

Organic chemistry,,,you are the best tutor 🥰🥰

@SharpCookie 4 жыл бұрын

Great explanation! One of my students asked me why do we usually write "f(x)," and I'm guessing "f" stands for function...? I know g(x) is the other common notation.

@GodbornNoven 2 жыл бұрын

indeed, f stands for function

@magnetictrios8449 3 жыл бұрын

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@sipnaysanay4189 2 жыл бұрын

simple and straight...

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Really adorable

@Liarr-gf3xj 6 ай бұрын

thanks this really helps with my studies

@txuezea4072 2 жыл бұрын

Thanks for this awesome video 💖💖

@Sultan_A 3 ай бұрын

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@Ellie-em1fi 3 ай бұрын

Great refresher.

@siena3629 3 жыл бұрын

this was so helpful, thank you!

@TheFannysu 9 ай бұрын

Thanks, your explanations are so clear! ❤

@ayowhatthee4484 2 жыл бұрын

Thank you. This helped me so much for my pre ap test

@Pegisus2501 Жыл бұрын

Totally Awesome Instruction on Functions! 🥰🤩👍🏽🥳

@Lifeless_Asian 2 ай бұрын

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@oluwakemioni7397 4 ай бұрын

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@notyouralize8052 10 ай бұрын

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@osamudazai2958 3 жыл бұрын

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@becoolandbesmart5416 4 жыл бұрын

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@-_-4624 Жыл бұрын

we need a function tier list

@dawseym6412 2 жыл бұрын

คือ ปัญหา ระหว่าง output ( เจ้าของหรือผู้บริหาร (ก็ต่อเมื่อ ) ) กับ input ( นักวิทยาศาสตร์หรือผู้สร้าง ) ครับ และ ต้องการการตอบสนอง ของ ช่องว่างระหว่าง

@mashalmokarar4817 Жыл бұрын

is this the compelete course or we need to buy it to see the full concepts

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@mehdiasadat1839 2 жыл бұрын

it was just amazing

@mrsid47 3 жыл бұрын

Thank you. 😁

@ntbyng 2 жыл бұрын

I regret learning quadratic functions before finishing my functions unit :(

@rystinaset6526 Жыл бұрын

Hello everybody, how to watch precalculusplaylist? do you have any content to know what to learn step by step

@user-nw8up4sq5f 11 ай бұрын

Hi Is the explanation of the ‏pre -calculus material that is similar to the explanation that includes Udemy and is it not different?

@turupofficial4125 4 жыл бұрын

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@Uguyviy 4 жыл бұрын

Love you bro

@nepthalitejadajr.2503 2 жыл бұрын

Can I utilize your video for just educational purposes ???

@antonio_v17 2 жыл бұрын

W teacher

@riichan2895 Жыл бұрын

im just kinda confused in the part where, do u need to add first or subtract? ik theres a PEMDAS rule but why is here different? anyone help

@ummahyehmmm7403 3 жыл бұрын

Ahh thanks for this one

@leulhaile3794 2 жыл бұрын

2:18 I didn’t get it how come y=2(1)+4=6 hw did it come

@balls2442 2 жыл бұрын

2 multiplied by 1 is 2 than add 4 =6

@siyabongampongwana990 Жыл бұрын

Mal-f(x) Dys-f(x)

@terrencemadzamba1956 2 жыл бұрын

this was so helpful, i am doing calculus yet i am blank

@theengineeringstudent2678 4 жыл бұрын

When you say, it is not a function, what do you mean by that?

@mangomanlassi7779 3 жыл бұрын

essentially a function is determined if a straight line cuts through a graph ONLY once. So if it cuts 2 or more times, it isnt a function. What you should do is try to draw a graph, then draw a straight line through it and see if it intersects with the graph once. If yes, it is a function.

@txuezea4072 2 жыл бұрын

If it's not a function...then it's a relation

@theifelltower 2 жыл бұрын

My cousin goes to 5th grade and he already knows what is a function

@asserayman9461 8 ай бұрын

Wonderful explanation, may God guide you to Islam

@Swiss-Rome 2 жыл бұрын

Domain Expansion: Malevolent Shrine

@PixelPawz 2 жыл бұрын

10:48 Based on PEMDAS, shouldn't f(2,3) be -19? f(2,3) = 2(2²) - 3² + 3(2)(3) f(2,3) = 8 - 9 + 18 f(2,3) = 8 - 27 f(2,3) = -19

@t3zmazerunner128 2 жыл бұрын

-9 + 18 = 9, not -27. If it was -9 - 18, then it would be equal to -27

@andromedanyxmortem9386 Жыл бұрын

You subtract first before adding since you are solving from left to right, not right to left. Just because Addition is ahead of Subtraction in PEMDAS doesn't mean it should always go first. It is just said that after Multiplication/Division(this also applies to these two operations) you then do Addition or Subtraction, depending which comes first. For example: 4 × 5 + 3 - 1 = 22 Addition comes first because it came first before subtraction. In the case of 4 × 5 - 1 + 3, the answer will still be 22 since you first subtracted one then added three. (Idk if this is actually correct because I am currently operating on what remains of my brain cells due to a lot of problems. Like srsly, research problem, algebra projects, statistics quiz, that damned EsP(I am still on the side of replacing this with either ROTC or Philosophy) interview(my teacher is just a boomer who just wants to make our life harder) plus not to mention chemistry. I already have grey hairs and I'm just 13 wth)

@andromedanyxmortem9386 Жыл бұрын

Not to mention my algebra teacher talks fast and assumes we know this stuff already despite having two years of modular learning. How does she expect us to remember this?