What Is a Function? | Precalculus

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  • Опубліковано 28 тра 2024
  • 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.
    Access Full-Length Premium Videos: / mathsciencetutor
    _______________________________________________________________________________________________
    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...
    ______________________________________________________________________________________________
    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...

КОМЕНТАРІ • 104

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +15

    Functions and Graphs: ua-cam.com/video/ZTEv8OnGaxo/v-deo.html
    Transformations of Functions: ua-cam.com/video/tyQLp6x-GoU/v-deo.html
    Graphing Polynomial Functions: ua-cam.com/video/rOOefdqMvtA/v-deo.html
    Final Exams and Video Playlists: www.video-tutor.net/
    Next Video: ua-cam.com/video/HyNie_PYgsY/v-deo.html

  • @dgangs18
    @dgangs18 Рік тому +47

    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.

  • @misguidedmiscreants547
    @misguidedmiscreants547 3 роки тому +114

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

  • @technicallyyogi5123
    @technicallyyogi5123 3 роки тому +163

    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

  • @miaash3870
    @miaash3870 2 роки тому +20

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

  • @101falcon
    @101falcon 2 роки тому +26

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

  • @Snow-ej5fm
    @Snow-ej5fm Рік тому +4

    u a real one organic chemistry tutor 🙏

  • @thek4lqueen
    @thek4lqueen 2 роки тому +7

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    @WinkyDinKdink 4 роки тому +90

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    @tajuoni8854 4 роки тому +20

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  • @PeachyKeenMaureen
    @PeachyKeenMaureen 3 роки тому +7

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    @sanopann1896 6 місяців тому +2

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    @blessingokpenihwo9713 2 роки тому +5

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  • @Fam98KK
    @Fam98KK 7 місяців тому

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

  • @georgesadler7830
    @georgesadler7830 2 роки тому +3

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

  • @asterixboy3011
    @asterixboy3011 2 роки тому +3

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

  • @jaydevsingh4811
    @jaydevsingh4811 4 роки тому +6

    Love from India
    You will rock here
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  • @yolandasession8158
    @yolandasession8158 Рік тому +1

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

  • @deborahmuoki8464
    @deborahmuoki8464 2 роки тому +3

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

  • @jarediannudalo6074
    @jarediannudalo6074 3 роки тому +7

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

  • @TheFannysu
    @TheFannysu 6 місяців тому

    Thanks, your explanations are so clear! ❤

  • @a3avd_
    @a3avd_ Рік тому

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

  • @Ellie-em1fi
    @Ellie-em1fi 23 дні тому

    Great refresher.

  • @osamudazai2958
    @osamudazai2958 3 роки тому

    Your way easier to understand! ThankYou!

  • @Sultan_A
    @Sultan_A Місяць тому

    Very Good, The Organic Chemistry Tutor, Keep It Up 🎉🎉🎉

  • @siena3629
    @siena3629 3 роки тому +2

    this was so helpful, thank you!

  • @mosesmuturi1694
    @mosesmuturi1694 2 роки тому +1

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

  • @jiadotsomething
    @jiadotsomething Рік тому +4

    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

  • @magnetictrios8449
    @magnetictrios8449 2 роки тому +1

    Your the best tutor your the only one I understood thank you i subbed

  • @ayowhatthee4484
    @ayowhatthee4484 2 роки тому

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

  • @johnnyjohn9134
    @johnnyjohn9134 4 роки тому +2

    You are the Best teacher!!

  • @Liarr-gf3xj
    @Liarr-gf3xj 4 місяці тому

    thanks this really helps with my studies

  • @notyouralize8052
    @notyouralize8052 7 місяців тому

    Very well explained. Tysm.❤

  • @Salehbinnasser-ob8bk
    @Salehbinnasser-ob8bk Рік тому

    best teacher ever. I love your video's. And thank you made my grade higher so thank you

  • @Pegisus2501
    @Pegisus2501 Рік тому

    Totally Awesome Instruction on Functions! 🥰🤩👍🏽🥳

  • @txuezea4072
    @txuezea4072 2 роки тому +2

    Thanks for this awesome video 💖💖

  • @klausvery
    @klausvery Рік тому

    Brother, you are really awesome teacher!

  • @sipnaysanay4189
    @sipnaysanay4189 2 роки тому +1

    simple and straight...

  • @darkphantom_01
    @darkphantom_01 9 місяців тому

    This guy never disappoint ❤

  • @unknownuser6757
    @unknownuser6757 Місяць тому +5

    Not in school. I just like math

  • @sammygilbert2615
    @sammygilbert2615 2 роки тому

    I love the teaching.....I am Sam from Kenya Africa

  • @SharpCookie
    @SharpCookie 4 роки тому +9

    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
      @GodbornNoven 2 роки тому +1

      indeed, f stands for function

  • @ettabrown1332
    @ettabrown1332 3 роки тому

    You R an AWESOME instructor!
    This is the reason for purchasing a smart TV, so that one can mirror your videos from a smartphone to the big screen while relaxing @ home listening to Ariana Grande shilling in Victoria’s Secrets sweatpants (writing on my tablet)! What better way to spend a day👍

  • @bavinatta7536
    @bavinatta7536 2 роки тому

    Thank youuu so much , love ya 🙏

  • @omar-jabermohamoud1073
    @omar-jabermohamoud1073 4 роки тому +1

    what a teacher 😘😘😘👍

  • @imakechannel
    @imakechannel Рік тому

    I really appreciate these videos...studying at polytec and your videos are really helpful. Keep it up

  • @doloresolivarez536
    @doloresolivarez536 Рік тому +1

    ugh this makes way more sense !

  • @Codingpyandgaming
    @Codingpyandgaming 2 роки тому

    Cool video!! i love thissssss!!!!!!!!!

  • @dodong2.99mllegend8
    @dodong2.99mllegend8 2 роки тому

    Very helpful

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    @adnankamal3697 3 роки тому

    best teacher

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    @becoolandbesmart5416 4 роки тому

    I like your lessons

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    @shreemoyeechakraborty382 Рік тому

    thank you so much

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    @mehdiasadat1839 2 роки тому

    it was just amazing

  • @mrsid47
    @mrsid47 3 роки тому

    Thank you. 😁

  • @Uguyviy
    @Uguyviy 4 роки тому

    Love you bro

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    @annstegall2818 Рік тому

    Thank you so much. Im taking a class right now that is already paid for so i cant leave or afford to take another class and I need these credits for what I want to do. You have been helping me so much to pass this class. Thank you.

  • @himanshubarnwal934
    @himanshubarnwal934 Рік тому

    After watching this, I realised that I am worrying for nothing.... Too smooth

  • @-_-4624
    @-_-4624 Рік тому

    we need a function tier list

  • @turupofficial4125
    @turupofficial4125 4 роки тому

    I like him this channel 👏👏👏

  • @user-nw8up4sq5f
    @user-nw8up4sq5f 8 місяців тому

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

  • @mashalmokarar4817
    @mashalmokarar4817 Рік тому

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

  • @ummahyehmmm7403
    @ummahyehmmm7403 2 роки тому

    Ahh thanks for this one

  • @dawseym6412
    @dawseym6412 2 роки тому

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

  • @nepthalitejadajr.2503
    @nepthalitejadajr.2503 2 роки тому

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

  • @ntbyng
    @ntbyng 2 роки тому +2

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

  • @rystinaset6526
    @rystinaset6526 Рік тому

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

  • @riichan2895
    @riichan2895 Рік тому

    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

  • @terrencemadzamba1956
    @terrencemadzamba1956 2 роки тому

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

  • @antonio_v17
    @antonio_v17 2 роки тому

    W teacher

  • @nengimotejaphet2565
    @nengimotejaphet2565 2 місяці тому +1

    Who else is in 2024 and still learning with this?

  • @theifelltower
    @theifelltower 2 роки тому

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

  • @leulhaile3794
    @leulhaile3794 2 роки тому +1

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

    • @balls2442
      @balls2442 Рік тому

      2 multiplied by 1 is 2 than add 4 =6

  • @theengineeringstudent2678
    @theengineeringstudent2678 4 роки тому +1

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

    • @mangomanlassi7779
      @mangomanlassi7779 2 роки тому +4

      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
      @txuezea4072 2 роки тому +2

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

  • @siyabongampongwana990
    @siyabongampongwana990 Рік тому

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

  • @bastianschweinstiger445
    @bastianschweinstiger445 2 роки тому

    Bruh im in between bunch of kids here and im learning this for the sake of sat 1

  • @Vuvuizy
    @Vuvuizy 2 роки тому

    Domain Expansion: Malevolent Shrine

  • @elizabethhallett5060
    @elizabethhallett5060 5 місяців тому

    is not the last answer 19? (pemdas)

  • @asserayman9461
    @asserayman9461 5 місяців тому +2

    Wonderful explanation, may God guide you to Islam

  • @PixelPawz
    @PixelPawz 2 роки тому +1

    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
      @t3zmazerunner128 2 роки тому

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

    • @andromedanyxmortem9386
      @andromedanyxmortem9386 Рік тому

      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
      @andromedanyxmortem9386 Рік тому

      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?

  • @turupofficial4125
    @turupofficial4125 4 роки тому

    2

  • @user-td3uj8is5i
    @user-td3uj8is5i 4 роки тому

    iha 5/5

  • @sravanth3008
    @sravanth3008 4 роки тому

    1st

  • @kamyarphysicsschool5065
    @kamyarphysicsschool5065 Рік тому

    Great explanation. I shall be grateful if you consider my video in this topic.

  • @kuulajarkkoperse
    @kuulajarkkoperse 4 роки тому

    your mom