Understanding Function Notation f(x)

I define Function Notation and then work through 3 examples.
Example 1 is a word problem where we write a function that models the real world setting and then use it to evaluate a total cost at 6:55
Example 2 and Example 3 are substituting either a value or an expression into a function an then simplifying to a final answer at 16:37 and 23:07

[chairninja]

I am studying for a degree in mathematics and hope to be a math teacher eventually. Your videos are amazing not only am I understanding better what im learning but im learning how to teach mathematics from your excellent example. Your a wonderful teacher I hope I can be as good one day. Thank you professor :D

[Lilsweetings]

I was subscribed to you on a different account and was worried that I lost your videos forever! I'm so glad that I found you again, your videos are very thorough

[GraffitiJungel]

10:59 CHALK DOWN!! 😂😂😂 I love your logic and how thorough you are. I’m going back and making some slides on functions and you’re the first person I thought of who would break this down and give a wonderful explanation as why we have function notation and how to develop it. I hope you are well and still teaching. Teaching digitally is going to be a breeze for you since you have your entire library of resources 🙏🏾🙏🏾 Bless you man

[OnlyAnnonymous]

ProfRobBob,
Thank you for making this video.  I am currently studying for the GRE, and I realized very quickly that I have forgotten all of my high school math.  It has been almost 20 years after all!  Your style of teaching is bringing it all back!  I have tried watching several other videos, but none of them seem to break it down as clearly as you.  I had a question, but as I was writing this message to you, I thought it through and whallla!  
Keep up the great work!  You are funny, and your writing is the neatest I have ever seen!  Please post more videos:)

[georgesadler]

Professor RobBob, thank you for an excellent video/lecture on Understanding Function Notation . This topic is covered in all areas of Science and Applied Engineering. Vending/Snack machines is an example of a function.

[Fadic]

Thank you man. I wish all teachers taught like you. I'm in pre calc in college and my teacher is a Greek 62 year old guy who doesn't really teach well and skips over a lot of steps. I'm going to be using your channel a lot in the future. Have you done videos for calc one and calc two?

[horizonbrave]

BAM! So..I'm still a bit fuzzy Professor...

1. What exactly is the difference or relation between a function...and an equation? Could it be said that all Functions are a type of equation? That a function is a specific type of equation?

2. Does the whole dependent and independent variable need applies to functions, but not to equations? So could it be said that an equation does not need to have an independent and dependent variable...but functions MUST have both for it to be a function?

3. Expanding on this, I know that for and equation to exist, there needs to merely be an equals sign... but for a function to exist, there needs to be the equals sign, AND two variables? (an equation can exist with 0, 1 or 2 or more variables)

4. When it comes to graphing... are graphing functions and equations pretty much the same? (except the fact that vertical lines can't be functions)

5. Last one!! Can we have functions that have the different "styles" of equations? For example can there be quadratic functions? or binomial functions ? Basically can all the types of equations be expressed as functions as well?

Thanks ahead of time!!

[profrobbob]

My #algebra lesson on Understanding Function Notation f(x)

[DjEleazerah]

Very well explained...your lecture on Function Notation is easy to follow and understand.

[sourperfect]

Hi there
I was just wondering if there is a simplified expression for sqrt(a+b). This has been on my mind for quite a while and I cannot seem to find an appropriate answer. Since one of the exponent laws (xy)^n = x^n y^n is proven to be correct, I cannot understand why the binomial theorem cannot apply for non integer powers. Would be great if you can make a video about this, thank you

[jburns]

Thank you for doing what you do. Your videos are amazing.

[suzanneemry]

Thank you. Now I won't freak out when I see a function notation.

[marycrishelleladignon]

what if f(x)=3x2(squared)+5x-14, what values of x make: f(x)=10? in here you're finding the x-values given the values of y which is f(x)=10. do u have a video for that?

[fdsart]

Professor why did you wait till the end of the last problem to distribute the 2 ?

[hauteswan]

My husband uses math a lot as a Business Intelligence Expert and Data Architect and Enterprise Software Engineer, he constantly uses Math. Personally I hope I never have to use it haha! Oh ps thank you for this video!

[rodriguezg]

I would love to see videos about Revenue, profit, cost, investment, APR, break even, etc. I am in business algebra and that class is giving me headaches lol
I hope that's possible :)

[MeryemKhalki]

I wish my teacher explains the way you :)

[minethebye]

U should also use
Purple
Elephants
May
Destroy
A
School

[mathcruz]

why does this video automatically bring me to the middle of the video?