Visually identifying key characteristics of graphs.

How to identify key features of graphs such as relative maximum and minimum, zeros, domain, range, and y-intercept. We will also state the intervals where the graph is increasing, decreasing, and constant.

[HandleBarD]

Thank you so much. I am not a student but I love brushing up on math from time to time. I always come back to see your videos for the rusty part of my brain. Having lectured a bit and making videos myself I know the time it takes. Thank you for the hard work and I wish you the best in life. You remind me of the best professors I had in my youth.

[kevinhuynh]

Thank you so much for taking some time after school to teach students all around the world. You are a true teacher to me because not only that I actually understand the concepts, but I also admire your dedication.

[profrobbob]

This was one of my early videos that I taped directly after a full day of teaching...but I get better:) OMgoodness...what's that I hear? You just made me so proud! You are going to DOMINATE pre calc next year with that kind of self-motivation...you're teacher will be lucky to have you!!...and don't let that nasty old "procrastination" invade your thoughts. Take it from experience, "don't put off till tomorrow what you can do today"...

[Duane_A]

I'm a transfer student also. It's been 2 yrs since I've taken college algebra and your videos are the grade savior (pun intended). I'm in PreCal and have saved your channel as a direct link icon on my iPhone, iPad, and laptop!

[profrobbob]

You're welcome...don't know how your comment got missed, but I apologize...and I hope you are still watching and learning from my videos:)

[ansar]

Thank you sir, i am a student from india.
During lockdown I wasted my whole time playing PCs And Xbox..
Now when I regreted my negligence And wanted to revise maths. I found you sir.. Thank you sir

[profrobbob]

Thank you for watching and spreading the word:) Now that this school year is complete I am brushing off my own Caclulus skills and doing videos for that subject. I am glad you like my videos...thank you again.

[lmafoutube]

As a transfer student in college I found myself having to build upon the fundamentals of calculus for the placement exam, and these videos have definitely helped me become more solid in math. I now have to get ready for calculus 2. Thank you

[ketsune]

I am a Mec Engineering student freshman and I totally flunked on Calculus starting my marathon with you professor RobBobn :) hope to get a A+ next semester ;)

[bigstuff]

Thank you sir-You clear things up for me that I should have learned fifty years ago. I wish you would have been my teacher back you for doing these great vids for the young people today.

[EliWithRob]

Hey thanks this really help me out, it's freshman year and the teachers don't explain well. You made me understand this entire chapter from all your videos thank you very much.

[profrobbob]

Just trying to keep you on your toes...Thanks for supporting by watching, liking and subscribing too!

[profrobbob]

WOW....now that's a true supporter! I expect to hear about all the great progress you make during the year as a testament to all of your direct links:)...(and hard work)

[georgesadler]

Professor RobBob, thank you for another wonderful explanation of Visually identifying key characteristics /information of graphs. The Ti-83/84 calculators can also be helpful in finding key information about graphs.

[profrobbob]

Write your answers consistent with what your book and teacher shows. In my PreCalculus book the intervals are shown with ( non-inclusive brackets) because the function at those exact values like at 2 has a horizontal tangent line indicating the slope is 0 at 2. The slope is negative at and positive at 2.0001 but 0 at two.

[radhikamutyala]

I am really thankful for your videos to help my son is studying IBDP.Your explanation is awesome.

[sofijamarkovic]

Thank you so much!! We don't take notes in my math class nor does my teacher teach, this is very helpful

[xzayviyo]

Thanks any time I need help I turn to your channels. my tutors at times just tell me the answers and don't ensure that I understand thanks u rock. I may finish my bachelor's bc of u.

[bllrbob]

9 years later and this video is coming in clutch for pre calc

[profrobbob]

The graph starts to rise from its minimum of -2, but I am identifying where along the x axis the graph is increasing...and it starts to increase at the x value of 2. Thank you for the kind words I really appreciate the positive feedback. I hope you do great in your college algebra class.