Rewriting Absolute Value Functions Piecewise: Part 1 | Best Explanation! | Math with Professor V

An absolute must for any calculus student--this video explains how to rewrite absolute value functions piecewise so that you can work with them in your calculus class. #absolutevaluefunctions #piecewisefunctions #calculus #limits #precalculus #mathtvwithprofessorv #mathtutor #youtubemath #calculusvideos #mathvideos #mathprofessor #mathhelp #calculushelp

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[sydneyduval]

After 5 different videos, someone actually showed how it works visually omg

[fatdogonsand]

I am trying to correct a quiz right now and this video literally saved my life. all of the others made no sense. thank you so much.

[KARMA-zhqs]

i have been struggling on this one question, and you explained it simplier and much better than the deltamath video did ty <3

[OSAS]

I love your teaching style and your graphical representation of what is happening. I’m 51 years old and I just started two semesters ago studying at the local community college for my electrical engineering degree. My first semester I got a 4.0 in college algebra and my second semester I got a 4.0 trigonometry. Next semester, I will be taking calculus 1 all the way through Calculus 4. So am I understanding you correctly when you put the negative sign in front of the function inside the absolute value function as being a simple notation representing the opposite of the input?

For example:

|-5| = 5 negative 5 being the input and positive 5 being the output which has the opposite sign of the input?

I can see where this would be very useful in determining whether the limit of an absolute value function exists or not.

I seem to intuitively understand what’s going on here because of the fact that I am self taught all the way up through calculus 1.

Thank you for your response in advance and please keep the awesome videos coming.

God bless you 🙏

[justincchoi]

you're so good at explaining pls just be my teacher at this point :, )

[derpxmenship]

Hi, so at 4:18, does it matter if I did x < or equal to 5/2, x > 5/2 or does it have to be strictly what you put on the video.

[dylsmemoryhaul]

suddenly it feels like im watching a chinese video without subtitles when i am trying to understand calculus :)

[mannyballon]

where should i write the or equal sign of inequalities?

[benjaminhogan]

Absolutely value of + number does absolutely nothing...LOL

[leonardmbemba]

I am about to watch, because of the positivity from the comments 🥹🥲