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.
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you just made my day , you are the greatest maths teacher in the world, thanks

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Math is absolutely fun, WHEN you understand it. I'm drawn to my math studies over my other courses for the successes I have. I hope your wife's adoration along with the light coming on in each student's eyes is enough to keep you going. Know this professor, some teachers aren't teachers, but tellers of what they know. It takes a teacher to teach. Going back to school this late in life enables me to see the difference. You're doing a great job and I'm very grateful! God bless you!

[@profrobbob]

And thank you for choosing my channel to learn from!

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[@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]

Marobobb how do I even begin to reply to a compliment like this?! THANK YOU for seeking help on KZbin, choosing Tarrou's Chalk Talk to watch, like and subscribe to, sending your appreciation all wrapped up in a comment shared with everyone:) (...did you remember to Like me on Facebook too?!:) If all my students were as thankful and appreciative as you I would have a million subscribers by now! Keep spreading the word my friend, and together, we can make it happen...BAM!!!

[@livwells7380]

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!

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[@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!

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And this my friend, reminds me why I teach!...because when students like you take the time to send such a heartfelt message it reinforces why I put in all the long hours involved with my full time teaching job and plus all the time at home after school that it takes to make and post these videos:) But I do LOVE what I do, I have a very supportive wife, and that does make all the difference! Thank you too for subscribing and supporting:D

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I just want to let you know that your videos are so helpful especially with all the teachers trying to rush through everything! I'm sure you'll soon have tons of views soon!

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Your video is going all over the world ! Am from the Middle East and I want to thank you so much ..

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Thanks:) WOW...that's a pretty bold challenge for 8th grade...Good for you for taking it on!!! So that means I should be able to help you for a while yet, and that's a privilege I'm ready to take on!

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Thank you very much. I am thrilled you like my teaching style:) I hope I have a ton of views soon too. I wish you the greatest of success in your class.

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These youtube videos are awesome, my algebra teacher just rushes though everything and expects us to know what she's talking about, but this is understandable.

[@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!

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Thank you very much. I hope the new school year coming up gives me a nice boost in viewership:)

[@profrobbob]

Glad to hear it! Thanks for subscribing and supporting and good luck with that grade:)

[@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.

[@sarahjohnson9147]

Thanks for the further explanation about horizontal shifts. It did seem to go against the grain based on what I've learned about negative and positive numbers. I'm just starting to learn about this topic. I have a Math book, but your teaching of the topic is spot on! It covers the key points in a straightforward manner. As a teacher who is learning more about math, I really appreciate your the time and effort you put into making these videos.

[@davidherder5146]

Thank you so much for being neat in your notes, helps alot when you have a teacher that has poor writing!

[@profrobbob]

Glad I could be of assistance! Thanks for subscribing too...my channel grows through word of mouth and loyal subscribers...hope you keep watching, learning and sharing:) Thanks

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You are an extraordinary teacher! Thank you

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

[@profrobbob]

You are absolutely correct! Thanks for watching:)

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[@profrobbob]

@Strees99 I misspoke once during that sentence, but I did write and graph the point (-1,1/2) correctly. I did not graph (-1,-1/2). Thanks for helping to keep me straight! I really appreciate it.

[@profrobbob]

I think you are referring to my note about the horizontal asymptote. The parent function has an asymptote of y=0 which is the value the function approaches a x goes to negative infinity, the y intercept is 1

[@profrobbob]

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I always admired you, your neat and effective style, your handwriting, all the time I have told my students about your awesome lectures, please accept my highest appreciation.

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Thanks for supporting my efforts and taking the time to share your compliments and appreciation and sharing with your students as well. It's always nice to have the support of a fellow teacher!

[@dolmasherpa3535]

Wow I had difficulty understanding domain and range but you made it so clear. Honestly so thankful for you and your video.

[@profrobbob]

BAM!!! Thanks for watching and studying...please share this free channel with everyone:D

[@profrobbob]

From the parent function y=3^x, you have a shift down 2' reflection over the x-axis, and a shift right 4.

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I thought I skip coffee today and donate $5 to your awesome channel.. Thanks for your great material.. From Spokane WA with love..

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Darci Khey Saucedo what a thoughtful gesture to share with this florida teacher all the way from WA!!!! We really appreciate your support and THANK YOU too for taking the time to like, subscribe and skip that caffeine intake and send it to us instead:) If all my subscribers did that, I could quit my teaching job and do this channel full time...BAM!!! Please keep spreading the word and asking all your friends, classmates and teachers to like, sub and support the ads to help these free educational channels keep growing and remain free:D (and to help us reach our goal of 100,000 subscribers by the end of the year:)

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[@profrobbob]

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[@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]

From the parent function of y=3^x your problem has a vertical shift up of 1 and a horizontal shift of 4 units to the right. Of course a t-table is always handy to find 3 or 4 points the graph passes through, like using x values of -1,0,1,2,6.

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[@jyeung222]

hi! i just wanted to thank you for posting these videos. i got a 90% on my first exam and the class average for my lecture hall was a 69%! i have to say you certainly helped me with asymptotes. i was so scared because it a rapid paced, one semester pre calc class and now i have the second high grade in the class! thank you so much and i will defiantly shared this to my friends who are struggling to pass:)

[@jparkyyy]

this was the only video i could find that went into enough detail. thanks!!

[@AnOmiCKs]

Thank you so much!! You actually explained this lesson better than my teacher did. I'm totally gonna pass my math test tomorrow. Thanks :)

[@SUPERDUPERSTAR2222]

I have my summative to do tomorrow, and it's all about graphs. I know how to graph all the other functions, i just never got a grasp on how graph exponential functions. You explained them in 15min better than I've learned over the past couple weeks. Kudos 😄

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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

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I wish I had you for my math teacher! Your videos are great and never fail to clear up something I'm confused about :)

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+Melissa Negrich when you subscribe I can be your KZbin math teacher...BAM!!! Thanks for taking the time to learn!

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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!!!

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[@kimmykaypunkin]

Omg I am so struggling with this in my pre-calculus class and once again, you have cleared it up for me! Thanks so much, you're awesome.

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You are so welcome Kim Heisel thanks for returning to #ProfRobBob for help again!

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So happy I could help all the way in Singapore! I've been teaching for 17 years and never knew about a "TeachersDay"...but I will be looking forward to your wishes:)) Thanks for watching and please share my channel with your friends.

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And THANK YOU for watching and subscribing all the way from Australia!...I'll keep posting if you'll keep watching and sharing:D

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This guy seems like a cool teacher. And his cursive is beast!

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This chapter was so hard, until I watched the video, definitely the best explanation ever!!!

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+Delkis Rodriguez BAM!!!

[@profrobbob]

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

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Super cool...love the entrance and the happy exit!! You made my math fun today!

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Hey i know you dont have alot of views always per video, but compared to others, you are soo fantastic!!, very well informed. Alot of times i want to know a different usage or example of a problem. But you do an entire section, and explain it perfectly and clearly. I really appreciate you taking the time to put out videos like this. It helps others out tremendously. If you want to publicize your vids more, u should use Facebook, Twitter, Google +, ETC as a marketing tool, PLEASE KEEP IT UPP!!!!

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And THANK YOU for being one of the many that watch my videos and make me want to continue to groW! Comments like this one are a constant reminder for me why I put in so much of my off time to continue building my library...being able to reach so many students from all over the world is truly an honor. Thanks for watching and keep me posted on your progress:D

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Bam!!!!!! once again thanks for your videos. my marks are up for the 60's to now in the 80's that's big stuff for me!

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Yippppeeeee! Thank you so much for supporting by signing up and subscribing...now that's support! Good luck on your quiz and now that you know where to find me, please come back whenever you need help:)

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And thank you for taking the time to watch and subscribe! I really appreciate the support of my subscribers in the efforts to help to grow my channel...please share with others too:D

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You're welcome M Jae ...thanks for taking the time to watch and sub too!

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This was one of my early videos when I did have time limits...but that was lifted and I no longer have any time restraints! Someday when my channel library is complete I will re-record that series of videos...but with a full time teaching job it's all I can do to keep the new ones coming...but thank you for watching!

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I learned calligraphy years ago and just started using one of the easy scripts...I don't often hear that my students can't read my work, so I guess it's working:) Thanks for watching and subscribing...I appreciate the support! Please spread the word:D

[@sonal4500]

Simple and straightforward explanation. Thank you.

[@profrobbob]

You're welcome...thanks for watching! Please sub and share too:D

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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!!

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And THANK YOU for subscribing and supporting!

[@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]

Thank you...and welcome:) I hope you continue to choose my channel for extra help:)

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You're welcome...and THANK YOU for supporting by subscribing! I hope this is just the start of many lessons watched from my channel:) If you like what you are learning, please share my channel with your friends too:D

[@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]

Those are my 4 favorite words to hear..."You make math fun" (besides," I love you" from my wife) One of my goals in teaching is to try to "erase" the assumption that math is boring...by your comment I will assume I am reaching that goal one student at a time; Thank You for that:))...and for continuing to send such kind comments (I love repeat commenters! (that means you're still watching:)

[@muhammadali9991]

thank you god bless you!!!! you just saved my mark

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WE did it!!! and I call that teamwork...BAM!!!

[@profrobbob]

Thank you for watching and subscribing...and reciting my favorite words "You make math fun"! I hope my channel can continue to supply you with the help you need and together we can turn that F into an A:)) I do have personal success stories too, one of my wife's friends son went from an F to an A after watching my videos for help...with a little determination and hard work anything is possible, I look forward to being a part of your success story as well!

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What can I say...Math is exciting!!! Thank you for the feedback and for watching. I hope you do well on your finals:)

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Thanks for watching!

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You are an amazing teacher!! Your students should be lucky lol. I have hopes to pass my test now!! thank you!

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I'm at 30% of completing your whole PreCal series >.

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You just saved me from another math test! Thanks a lot man :))

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Dude...your explanations make this upcoming test seem like a quick quiz thanx For Friends and for tommrow

[@profrobbob]

You're welcome Alvin Ellis ...hope you pass that test like BAM!!! ...and when you do, please tell all everyone to watch, Like, share and SUBSCRIBE to Tarrou's Chalk Talk!

[@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.

[@MissRachellauren]

Woo Bam! thanks for helping me thoroughly understand maths

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You're welcome Recoveringstrong thanks for learning! BAM!!!

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Already on ch 8!! yay I'm studying off ur videos since the summer school got cancelled due to the teachers strike :( you r my life savor Thank you so much

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Great...keep in touch and let me know how it works out:) Now BAM!....go get started!!!

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This video is giving me hope of passing my college algebra final. Thank you!

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You're welcome and thanks for liking, subbing and taking the time to study! I know you can pass that final like BAM!!! if you keep it up:) PS...please share my channel with your teacher as an additional study reference for the rest of their students too:D

[@echaiphus]

ProfRobBob way ahead of you actually, the class had a discussion board and I shared your links early on :)

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Thanks for noticing...that's so my students can't say "they did'nt get it cause they could'nt read it"!...I LOVE my chalkboards...and they are better for the environment too:)) Thank you too for subscribing and supporting my channel.

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I had an A few years ago and I liked math then I got into high school. I began to hate math and I have an F, but what actually happens is that I hate my math teacher. Math is fun when you have the right people to do it with. Thanks for all the stuff you teach us. :)

[@profrobbob]

(Log(-y-2))/(log(3)) +4 = x and then swap the x and y if you wanted to graph the inverse