Graphing Exponential Functions w/ t-table or Transformations

I explain how to graph exponential functions using tables and transformations from a parent function. Properties of these graphs are also discussed such as domain, range, asymptotes, etc.

[Marobobb]

Wow! honestly this has been the best explanation of exponential functions I have ever seen. my teacher at school was incapable of even understanding it herself and she kept on making revelations in class as she confused us and herself even more. so today I decided I wasn't just going to accept that situation and allow my math skills to start going downhill by letting a lesson that I don't understand pass by me. I looked up exponential functions and honestly I couldn't find a better, easier, simpler explanation than this. thank you very much for making this video. it has helped me tremendously and cleared the my mind block. your explanation is simple. you make everything clear. you even go out of your way to make other complications clear like why anything to the zero power is 1. and u have a great handwriting and stable hands while drawing on the board. so I again, thank you for explaining this and well done sir.

[profrobbob]

Happy to hear you were actually DOING your homework:))...my students don't seem to enjoy it much...LOL
Thanks for watching!

[profrobbob]

Good luck tomorrow. I am glad you found my videos and I hope you do great:D. Let me know how you do!

[profrobbob]

Now with Closed Captions:  Graphing Exponential Functions with T-Tables

[profrobbob]

When you have an addition or subtraction inside your math function that is a horizontal shift...(horizontal shifts are often inside a parenthesis). When you have an addition or subtraction outside of your main function that is a vertical shift. Horizontal shifts move in the opposite direction than you would think when first learning about transformations.

[profrobbob]

آسف لذلك تستغرق وقتا طويلا مع هذا الرد ... وآمل أن تكونوا وحسنا فعل على الاختبار الخاصة بك وشكرا لاختيار قناتي لمشاهدة :) ProfRobBob

[livwells]

Thank you so much! I have been stressed about my maths assignment for weeks and I didn't know what to do. It's due tomorrow and you were my last hope. I now understand what to do thanks to you! You should be proud of yourself for helping so many people. Keep doing what you do!

[profrobbob]

I hope the basics I covered in this video helps. If not you can ask questions either here or through my Facebook fan page, which is actually easier because you can include a picture in a personal message. Sometimes I do take a couple of days to respond. I am making my videos longer now with more examples, which is pretty necessary since I am currently working on Calculus. But I am learning and getting better at making these videos as I go too. Thank you for the feedback:)

[profrobbob]

Thank you for commenting in more detail this time, and good for you taking that big step back to college for a SECOND bachelors!...I'm glad to see that you are still watching and hope you get more help from my channel. My Calc library is not complete yet but the pre-calc is and hopefully there will be other videos tom help you. And once again GODD LUCK with your continued education!

[profrobbob]

You were my first comment in total arabic...it still amazes me that I am teaching students in Saudi Arabia from my home in Florida. Sorry for the delay in replying to your comments...I have my channel set up so that I have to approve all comments before they post. Congratulations on passing your exam!...I love to hear these success stories from my youtube students. Just curious...do you watch my videos in english or do you translate them somehow?...I appreciate all the comments and support!

[profrobbob]

The domain of exponential functions is all real numbers so you could pick any numbers you like. I like to keep them simple small integers. If you see there is a horizontal shift of 3 units to the right you could do 1, 2, 3, 4, 5 instead of a pretty standard -2, -1, 0, 1, 2. I just added three to all those numbers.

[profrobbob]

WOW...thanks for sharing that amazing news and congratulations to you! That's the kind of news I like to hear about:) I look forward to hearing about that final grade and I appreciate you sharing my channel with your friends...maybe you could suggest they start a study group while watching the videos...it's always easier when you can bounce questions off each other:D

[profrobbob]

Sorry to hear that. Maybe this would be a good time to consider that idea about starting a study group:) Give it a try on that next chapter and see if it makes a difference...sometimes talking it out and working together in a group makes things clearer. Don't give up...the rewards will be great in the end!!

[profrobbob]

I see you are still watching more videos....yea!...and yes, it still amazes me to know that I have subscribers in over 110 countries...and some of the amazing comments and show of gratitude, make all the extra after school hours I spend doing these videos worth while! Thank you for your support and comments:)

[profrobbob]

Must have been an off day for me to miss the opportunity to say BAM!...I think I could actually hear the excitement in your voice through your comment, thank you for that!! And thank you so much for subscribing, please share my channel with others who could benefit...my growth is solely through the support of my subscribers...so BAM!...go spread the word!!!

[profrobbob]

Hi! I hope my low video count is because my math channel is really new:) I did make a facebook fan page, but I have not done twitter, or google + yet, those are great ideas:) You can help for now by spreading the word about my new math channel. Please help by spreading the word. I wish you the best in your studies!!!

[profrobbob]

CONGRATULATIONS!!!...and thanks for the current grade update, that's awesome:)) Thank you too for your continued support...my channel growth continues because of loyal viewers like you!...keep up the studying and I'm confident you can end the year with 100%:))

[profrobbob]

First of all, thanks for subscribing. And then thanks for taking the time to comment. I hope I can continue to help...some may think I over-explain sometimes, but thats why they make a fast-forward button:)) Thanks for your support and please share with your friends if I'm helping!

[profrobbob]

At least you have 400 plus videos to choose from:)...and this way so many other students can benefit from my almost private tutoring type teaching! Thanks for supporting by subscribing and I hope you enjoy learning from my videos.

[profrobbob]

Is the base or the exponent supposed to be x? The horizontal asymptote you are looking for is probably y=1 because the parent function's horizontal asymptote is y=0 and there is a vertical shift of 1 from the +1 outside of the main function.