Precalculus Algebra 5.4.1 Rational Exponent and Graphs

[@hay_bale6650]

you are a true savior. thank you patrick jones

[@ethan-hu9bl]

thank you patrick

[@eggandtomato1147]

This is soooo helpful 😭 THANK U SO MUCH!!!

[@nebeyeleul1498]

Thank you!

[@1nf3rno_06]

I put 2/6 and 1/3 into desmos and they made the same graph is this a mistake on desmos?

[@patrickjones1510]

I'd like to say "yes," but it is more complicated than that. If you graph y=x^(1/3), y=(x^2)^(1/6), and y=(x^(1/6))^2, you get three different graphs. The problem is that all three of these are potential interpretations for what y=x^(2/6) means. The Desmos coders chose the first interpretation, while I chose the second. I've seen textbooks that agree with Desmos, and I've seen textbooks that agree with me. Classes like to present math as brightly lit areas where everything is laid out nice and neatly. The reality is that there are often dark corners with stuff growing that no one wants to touch. I've considered taking down this video because of this disagreement, but I think in the end if it causes you to think and perhaps discuss the issue with your instructor, the video is still serving a purpose.

[@gregomano2220]

thank you for discussing the 2/6 1/3 dilemma at the end of the video. I was dreading having to search for hours to find the answer to this specific problem because alot if times, ppl in videos dont explain stuff fully

[@-henwen-180]

W video

[@daisyhuang595]

YOU MUST REDUCE ALL FRACTIONS!!! WARNING

[@ShirleyLiao-j3l]

thank you!